b=-6b(8b-2)-3b(4+4b)

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Solution for b=-6b(8b-2)-3b(4+4b) equation:


Simplifying
b = -6b(8b + -2) + -3b(4 + 4b)

Reorder the terms:
b = -6b(-2 + 8b) + -3b(4 + 4b)
b = (-2 * -6b + 8b * -6b) + -3b(4 + 4b)
b = (12b + -48b2) + -3b(4 + 4b)
b = 12b + -48b2 + (4 * -3b + 4b * -3b)
b = 12b + -48b2 + (-12b + -12b2)

Reorder the terms:
b = 12b + -12b + -48b2 + -12b2

Combine like terms: 12b + -12b = 0
b = 0 + -48b2 + -12b2
b = -48b2 + -12b2

Combine like terms: -48b2 + -12b2 = -60b2
b = -60b2

Solving
b = -60b2

Solving for variable 'b'.

Combine like terms: -60b2 + 60b2 = 0
b + 60b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + 60b) = 0

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 + 60b)' equal to zero and attempt to solve: Simplifying 1 + 60b = 0 Solving 1 + 60b = 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 + 60b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 60b = 0 + -1 60b = 0 + -1 Combine like terms: 0 + -1 = -1 60b = -1 Divide each side by '60'. b = -0.01666666667 Simplifying b = -0.01666666667

Solution

b = {0, -0.01666666667}

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