-4(2b+4)(9b-4)=0

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Solution for -4(2b+4)(9b-4)=0 equation: 


Simplifying
-4(2b + 4)(9b + -4) = 0

Reorder the terms:
-4(4 + 2b)(9b + -4) = 0

Reorder the terms:
-4(4 + 2b)(-4 + 9b) = 0

Multiply (4 + 2b) * (-4 + 9b)
-4(4(-4 + 9b) + 2b * (-4 + 9b)) = 0
-4((-4 * 4 + 9b * 4) + 2b * (-4 + 9b)) = 0
-4((-16 + 36b) + 2b * (-4 + 9b)) = 0
-4(-16 + 36b + (-4 * 2b + 9b * 2b)) = 0
-4(-16 + 36b + (-8b + 18b2)) = 0

Combine like terms: 36b + -8b = 28b
-4(-16 + 28b + 18b2) = 0
(-16 * -4 + 28b * -4 + 18b2 * -4) = 0
(64 + -112b + -72b2) = 0

Solving
64 + -112b + -72b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '8'.
8(8 + -14b + -9b2) = 0

Factor a trinomial.
8((4 + -9b)(2 + b)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(4 + -9b)' equal to zero and attempt to solve:

Simplifying
4 + -9b = 0

Solving
4 + -9b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9b = 0 + -4
-9b = 0 + -4

Combine like terms: 0 + -4 = -4
-9b = -4

Divide each side by '-9'.
b = 0.4444444444

Simplifying
b = 0.4444444444

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

Simplifying
2 + b = 0

Solving
2 + b = 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 + b = 0 + -2

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

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

Simplifying
b = -2
Solution
b = {0.4444444444, -2}

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