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Simplifying -63 + -360b2 + -387b = 0 Reorder the terms: -63 + -387b + -360b2 = 0 Solving -63 + -387b + -360b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-9'. -9(7 + 43b + 40b2) = 0 Factor a trinomial. -9((7 + 8b)(1 + 5b)) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(7 + 8b)' equal to zero and attempt to solve: Simplifying 7 + 8b = 0 Solving 7 + 8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8b = 0 + -7 8b = 0 + -7 Combine like terms: 0 + -7 = -7 8b = -7 Divide each side by '8'. b = -0.875 Simplifying b = -0.875Subproblem 2
Set the factor '(1 + 5b)' equal to zero and attempt to solve: Simplifying 1 + 5b = 0 Solving 1 + 5b = 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 + 5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5b = 0 + -1 5b = 0 + -1 Combine like terms: 0 + -1 = -1 5b = -1 Divide each side by '5'. b = -0.2 Simplifying b = -0.2Solution
b = {-0.875, -0.2}
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