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Simplifying 36b2 + -24b = 140 Reorder the terms: -24b + 36b2 = 140 Solving -24b + 36b2 = 140 Solving for variable 'b'. Reorder the terms: -140 + -24b + 36b2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + -24b + 36b2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-35 + -6b + 9b2) = 0 Factor a trinomial. 4((-5 + -3b)(7 + -3b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -3b)' equal to zero and attempt to solve: Simplifying -5 + -3b = 0 Solving -5 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3b = 0 + 5 -3b = 0 + 5 Combine like terms: 0 + 5 = 5 -3b = 5 Divide each side by '-3'. b = -1.666666667 Simplifying b = -1.666666667Subproblem 2
Set the factor '(7 + -3b)' equal to zero and attempt to solve: Simplifying 7 + -3b = 0 Solving 7 + -3b = 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 + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 0 + -7 -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -3b = -7 Divide each side by '-3'. b = 2.333333333 Simplifying b = 2.333333333Solution
b = {-1.666666667, 2.333333333}
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