2b(4b-4)+2b(4b+6)=

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Solution for 2b(4b-4)+2b(4b+6)= equation:


Simplifying
2b(4b + -4) + 2b(4b + 6) = 0

Reorder the terms:
2b(-4 + 4b) + 2b(4b + 6) = 0
(-4 * 2b + 4b * 2b) + 2b(4b + 6) = 0
(-8b + 8b2) + 2b(4b + 6) = 0

Reorder the terms:
-8b + 8b2 + 2b(6 + 4b) = 0
-8b + 8b2 + (6 * 2b + 4b * 2b) = 0
-8b + 8b2 + (12b + 8b2) = 0

Reorder the terms:
-8b + 12b + 8b2 + 8b2 = 0

Combine like terms: -8b + 12b = 4b
4b + 8b2 + 8b2 = 0

Combine like terms: 8b2 + 8b2 = 16b2
4b + 16b2 = 0

Solving
4b + 16b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(1 + 4b) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(1 + 4b)' equal to zero and attempt to solve: Simplifying 1 + 4b = 0 Solving 1 + 4b = 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 + 4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4b = 0 + -1 4b = 0 + -1 Combine like terms: 0 + -1 = -1 4b = -1 Divide each side by '4'. b = -0.25 Simplifying b = -0.25

Solution

b = {0, -0.25}

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