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Simplifying 6b2 + 10b = 136 Reorder the terms: 10b + 6b2 = 136 Solving 10b + 6b2 = 136 Solving for variable 'b'. Reorder the terms: -136 + 10b + 6b2 = 136 + -136 Combine like terms: 136 + -136 = 0 -136 + 10b + 6b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-68 + 5b + 3b2) = 0 Factor a trinomial. 2((-17 + -3b)(4 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -3b)' equal to zero and attempt to solve: Simplifying -17 + -3b = 0 Solving -17 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3b = 0 + 17 -3b = 0 + 17 Combine like terms: 0 + 17 = 17 -3b = 17 Divide each side by '-3'. b = -5.666666667 Simplifying b = -5.666666667Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-5.666666667, 4}
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