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Simplifying 28b2 + -92b + -80 = 0 Reorder the terms: -80 + -92b + 28b2 = 0 Solving -80 + -92b + 28b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(-20 + -23b + 7b2) = 0 Factor a trinomial. 4((-5 + -7b)(4 + -1b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -7b)' equal to zero and attempt to solve: Simplifying -5 + -7b = 0 Solving -5 + -7b = 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 + -7b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7b = 0 + 5 -7b = 0 + 5 Combine like terms: 0 + 5 = 5 -7b = 5 Divide each side by '-7'. b = -0.7142857143 Simplifying b = -0.7142857143Subproblem 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 = {-0.7142857143, 4}
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