(11b-5)(6b-7)=0

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Solution for (11b-5)(6b-7)=0 equation: 


Simplifying
(11b + -5)(6b + -7) = 0

Reorder the terms:
(-5 + 11b)(6b + -7) = 0

Reorder the terms:
(-5 + 11b)(-7 + 6b) = 0

Multiply (-5 + 11b) * (-7 + 6b)
(-5(-7 + 6b) + 11b * (-7 + 6b)) = 0
((-7 * -5 + 6b * -5) + 11b * (-7 + 6b)) = 0
((35 + -30b) + 11b * (-7 + 6b)) = 0
(35 + -30b + (-7 * 11b + 6b * 11b)) = 0
(35 + -30b + (-77b + 66b2)) = 0

Combine like terms: -30b + -77b = -107b
(35 + -107b + 66b2) = 0

Solving
35 + -107b + 66b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + -11b)(7 + -6b) = 0


Subproblem 1
Set the factor '(5 + -11b)' equal to zero and attempt to solve:

Simplifying
5 + -11b = 0

Solving
5 + -11b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -11b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -11b = 0 + -5
-11b = 0 + -5

Combine like terms: 0 + -5 = -5
-11b = -5

Divide each side by '-11'.
b = 0.4545454545

Simplifying
b = 0.4545454545

Subproblem 2
Set the factor '(7 + -6b)' equal to zero and attempt to solve:

Simplifying
7 + -6b = 0

Solving
7 + -6b = 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 + -6b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6b = 0 + -7
-6b = 0 + -7

Combine like terms: 0 + -7 = -7
-6b = -7

Divide each side by '-6'.
b = 1.166666667

Simplifying
b = 1.166666667
Solution
b = {0.4545454545, 1.166666667}

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