Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To solve the equation [tex]\( w(w-2)(6w+5) = 0 \)[/tex], we need to identify the values of [tex]\( w \)[/tex] that make this equation true. The product of several factors equals zero if and only if at least one of the factors is zero. Therefore, we will set each factor equal to zero and solve for [tex]\( w \)[/tex].
1. The first factor is [tex]\( w \)[/tex]:
[tex]\[ w = 0 \][/tex]
This gives us the first solution [tex]\( w = 0 \)[/tex].
2. The second factor is [tex]\( w - 2 \)[/tex]:
[tex]\[ w - 2 = 0 \][/tex]
Solving for [tex]\( w \)[/tex], we get:
[tex]\[ w = 2 \][/tex]
This gives us the second solution [tex]\( w = 2 \)[/tex].
3. The third factor is [tex]\( 6w + 5 \)[/tex]:
[tex]\[ 6w + 5 = 0 \][/tex]
Solving for [tex]\( w \)[/tex], we get:
[tex]\[ 6w = -5 \implies w = -\frac{5}{6} \][/tex]
This gives us the third solution [tex]\( w = -\frac{5}{6} \)[/tex].
Thus, the complete set of solutions to the equation [tex]\( w(w-2)(6w+5) = 0 \)[/tex] is:
[tex]\[ w = 0, \quad w = 2, \quad w = -\frac{5}{6} \][/tex]
These are the values of [tex]\( w \)[/tex] that satisfy the given equation.
1. The first factor is [tex]\( w \)[/tex]:
[tex]\[ w = 0 \][/tex]
This gives us the first solution [tex]\( w = 0 \)[/tex].
2. The second factor is [tex]\( w - 2 \)[/tex]:
[tex]\[ w - 2 = 0 \][/tex]
Solving for [tex]\( w \)[/tex], we get:
[tex]\[ w = 2 \][/tex]
This gives us the second solution [tex]\( w = 2 \)[/tex].
3. The third factor is [tex]\( 6w + 5 \)[/tex]:
[tex]\[ 6w + 5 = 0 \][/tex]
Solving for [tex]\( w \)[/tex], we get:
[tex]\[ 6w = -5 \implies w = -\frac{5}{6} \][/tex]
This gives us the third solution [tex]\( w = -\frac{5}{6} \)[/tex].
Thus, the complete set of solutions to the equation [tex]\( w(w-2)(6w+5) = 0 \)[/tex] is:
[tex]\[ w = 0, \quad w = 2, \quad w = -\frac{5}{6} \][/tex]
These are the values of [tex]\( w \)[/tex] that satisfy the given equation.
Steps to solve the equation 3x=6x-2
Step 1: Subtract 6x from both sides to get x by itself.
-3x=-2
Step 2: Divide both sides by -3 to get the value of x.
Step 3: x=2/3
Step 1: Subtract 6x from both sides to get x by itself.
-3x=-2
Step 2: Divide both sides by -3 to get the value of x.
Step 3: x=2/3
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
