(0 - 1 ) - 4z) - 5 = 0
2²
STEP
2
:
Simplify 1
2²
Equation at the end of step
2
:
((0 - 1 ) - 4z) - 5 = 0
4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
4z = 4z = 4z×4
1 4
-1 - (4z × 4) = -16z - 1
—————————————
4 4
Equation at the end of step
3
:
(-16z-1) - 5 = 0
4
STEP
4
:
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
5 = 5 = 5×4
1 4
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
-16z - 1 = -1 ×(16z + 1)
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(-16z-1) - (5 × 4) -16z - 21
——————————————————
4
STEP
6
:
Pulling out like terms :
6.1 Pull out like factors :
-16z - 21 = -1 × (16z + 21)
Equation at the end of step
6
:
-16z - 21
————————— = 0
4
STEP
7
:
Here's how:
-
-16z-21 × 4 = 0 × 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-16z-21 = 0
Solving a Single Variable Equation:
7.2 Solve : -16z-21 = 0
Add 21 to both sides of the equation :
-16z = 21
Multiply both sides of the equation by (-1) : 16z = -21
Divide both sides of the equation by 16:
z = -21/16 = -1.312
One solution was found :
z = -21/16 = -1.312
