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Simplifying 40b2 + -34b + -126 = 0 Reorder the terms: -126 + -34b + 40b2 = 0 Solving -126 + -34b + 40b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + -17b + 20b2) = 0 Factor a trinomial. 2((-7 + -5b)(9 + -4b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -5b)' equal to zero and attempt to solve: Simplifying -7 + -5b = 0 Solving -7 + -5b = 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 + -5b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5b = 0 + 7 -5b = 0 + 7 Combine like terms: 0 + 7 = 7 -5b = 7 Divide each side by '-5'. b = -1.4 Simplifying b = -1.4Subproblem 2
Set the factor '(9 + -4b)' equal to zero and attempt to solve: Simplifying 9 + -4b = 0 Solving 9 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4b = 0 + -9 -4b = 0 + -9 Combine like terms: 0 + -9 = -9 -4b = -9 Divide each side by '-4'. b = 2.25 Simplifying b = 2.25Solution
b = {-1.4, 2.25}
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