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[tex]\[ b = \square \ 12b^2 - 15b = -11b \][/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(12b^2 - 15b = -11b\)[/tex], we can follow these steps:

1. Combine like terms on one side of the equation:
[tex]\[ 12b^2 - 15b + 11b = 0 \][/tex]

2. Simplify the equation:
[tex]\[ 12b^2 - 4b = 0 \][/tex]

3. Factor out the common term, [tex]\(b\)[/tex]:
[tex]\[ b(12b - 4) = 0 \][/tex]

4. Set each factor equal to zero and solve for [tex]\(b\)[/tex]:

The first factor is [tex]\(b = 0\)[/tex].
[tex]\[ b = 0 \][/tex]

The second factor is:
[tex]\[ 12b - 4 = 0 \][/tex]

Solving for [tex]\(b\)[/tex]:
[tex]\[ 12b = 4 \][/tex]
[tex]\[ b = \frac{4}{12} \][/tex]
[tex]\[ b = \frac{1}{3} \][/tex]

Therefore, the solutions to the equation are:
[tex]\[ b = 0, \frac{1}{3} \][/tex]
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