4(b-8)(7b-5)=0

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Solution for 4(b-8)(7b-5)=0 equation: 


Simplifying
4(b + -8)(7b + -5) = 0

Reorder the terms:
4(-8 + b)(7b + -5) = 0

Reorder the terms:
4(-8 + b)(-5 + 7b) = 0

Multiply (-8 + b) * (-5 + 7b)
4(-8(-5 + 7b) + b(-5 + 7b)) = 0
4((-5 * -8 + 7b * -8) + b(-5 + 7b)) = 0
4((40 + -56b) + b(-5 + 7b)) = 0
4(40 + -56b + (-5 * b + 7b * b)) = 0
4(40 + -56b + (-5b + 7b2)) = 0

Combine like terms: -56b + -5b = -61b
4(40 + -61b + 7b2) = 0
(40 * 4 + -61b * 4 + 7b2 * 4) = 0
(160 + -244b + 28b2) = 0

Solving
160 + -244b + 28b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(40 + -61b + 7b2) = 0

Factor a trinomial.
4((5 + -7b)(8 + -1b)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -7b)' equal to zero and attempt to solve:

Simplifying
5 + -7b = 0

Solving
5 + -7b = 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 + -7b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7b = 0 + -5
-7b = 0 + -5

Combine like terms: 0 + -5 = -5
-7b = -5

Divide each side by '-7'.
b = 0.7142857143

Simplifying
b = 0.7142857143

Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {0.7142857143, 8}

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