(11b+7)(4b-12)=0

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Solution for (11b+7)(4b-12)=0 equation: 


Simplifying
(11b + 7)(4b + -12) = 0

Reorder the terms:
(7 + 11b)(4b + -12) = 0

Reorder the terms:
(7 + 11b)(-12 + 4b) = 0

Multiply (7 + 11b) * (-12 + 4b)
(7(-12 + 4b) + 11b * (-12 + 4b)) = 0
((-12 * 7 + 4b * 7) + 11b * (-12 + 4b)) = 0
((-84 + 28b) + 11b * (-12 + 4b)) = 0
(-84 + 28b + (-12 * 11b + 4b * 11b)) = 0
(-84 + 28b + (-132b + 44b2)) = 0

Combine like terms: 28b + -132b = -104b
(-84 + -104b + 44b2) = 0

Solving
-84 + -104b + 44b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + -26b + 11b2) = 0

Factor a trinomial.
4((-7 + -11b)(3 + -1b)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -11b)' equal to zero and attempt to solve:

Simplifying
-7 + -11b = 0

Solving
-7 + -11b = 0

Move all terms containing b to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -11b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11b = 0 + 7
-11b = 0 + 7

Combine like terms: 0 + 7 = 7
-11b = 7

Divide each side by '-11'.
b = -0.6363636364

Simplifying
b = -0.6363636364

Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-0.6363636364, 3}

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