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Simplifying 28b2 + -8b + -20 = 0 Reorder the terms: -20 + -8b + 28b2 = 0 Solving -20 + -8b + 28b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -2b + 7b2) = 0 Factor a trinomial. 4((-5 + -7b)(1 + -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 '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Solution
b = {-0.7142857143, 1}
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