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Simplifying 55b2 + -185b + -140 = 0 Reorder the terms: -140 + -185b + 55b2 = 0 Solving -140 + -185b + 55b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(-28 + -37b + 11b2) = 0 Factor a trinomial. 5((-7 + -11b)(4 + -1b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + -11b)' equal to zero and attempt to solve: Simplifying -7 + -11b = 0 Solving -7 + -11b = 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 + -11b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11b = 0 + 7 -11b = 0 + 7 Combine like terms: 0 + 7 = 7 -11b = 7 Divide each side by '-11'. b = -0.6363636364 Simplifying b = -0.6363636364Subproblem 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 = {-0.6363636364, 4}
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