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