(8b+7)(10b-2)=0

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Solution for (8b+7)(10b-2)=0 equation: 


Simplifying
(8b + 7)(10b + -2) = 0

Reorder the terms:
(7 + 8b)(10b + -2) = 0

Reorder the terms:
(7 + 8b)(-2 + 10b) = 0

Multiply (7 + 8b) * (-2 + 10b)
(7(-2 + 10b) + 8b * (-2 + 10b)) = 0
((-2 * 7 + 10b * 7) + 8b * (-2 + 10b)) = 0
((-14 + 70b) + 8b * (-2 + 10b)) = 0
(-14 + 70b + (-2 * 8b + 10b * 8b)) = 0
(-14 + 70b + (-16b + 80b2)) = 0

Combine like terms: 70b + -16b = 54b
(-14 + 54b + 80b2) = 0

Solving
-14 + 54b + 80b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 27b + 40b2) = 0

Factor a trinomial.
2((-7 + -8b)(1 + -5b)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -8b)' equal to zero and attempt to solve:

Simplifying
-7 + -8b = 0

Solving
-7 + -8b = 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 + -8b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8b = 0 + 7
-8b = 0 + 7

Combine like terms: 0 + 7 = 7
-8b = 7

Divide each side by '-8'.
b = -0.875

Simplifying
b = -0.875

Subproblem 2
Set the factor '(1 + -5b)' equal to zero and attempt to solve:

Simplifying
1 + -5b = 0

Solving
1 + -5b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5b = 0 + -1
-5b = 0 + -1

Combine like terms: 0 + -1 = -1
-5b = -1

Divide each side by '-5'.
b = 0.2

Simplifying
b = 0.2
Solution
b = {-0.875, 0.2}

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