-8(2b+2)(17b-2)=0

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Solution for -8(2b+2)(17b-2)=0 equation: 


Simplifying
-8(2b + 2)(17b + -2) = 0

Reorder the terms:
-8(2 + 2b)(17b + -2) = 0

Reorder the terms:
-8(2 + 2b)(-2 + 17b) = 0

Multiply (2 + 2b) * (-2 + 17b)
-8(2(-2 + 17b) + 2b * (-2 + 17b)) = 0
-8((-2 * 2 + 17b * 2) + 2b * (-2 + 17b)) = 0
-8((-4 + 34b) + 2b * (-2 + 17b)) = 0
-8(-4 + 34b + (-2 * 2b + 17b * 2b)) = 0
-8(-4 + 34b + (-4b + 34b2)) = 0

Combine like terms: 34b + -4b = 30b
-8(-4 + 30b + 34b2) = 0
(-4 * -8 + 30b * -8 + 34b2 * -8) = 0
(32 + -240b + -272b2) = 0

Solving
32 + -240b + -272b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '16'.
16(2 + -15b + -17b2) = 0

Factor a trinomial.
16((2 + -17b)(1 + b)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(2 + -17b)' equal to zero and attempt to solve:

Simplifying
2 + -17b = 0

Solving
2 + -17b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -17b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -17b = 0 + -2
-17b = 0 + -2

Combine like terms: 0 + -2 = -2
-17b = -2

Divide each side by '-17'.
b = 0.1176470588

Simplifying
b = 0.1176470588

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

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

Simplifying
b = -1
Solution
b = {0.1176470588, -1}

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