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Simplifying 28b2 + -44b + -24 = 0 Reorder the terms: -24 + -44b + 28b2 = 0 Solving -24 + -44b + 28b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -11b + 7b2) = 0 Factor a trinomial. 4((-3 + -7b)(2 + -1b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -7b)' equal to zero and attempt to solve: Simplifying -3 + -7b = 0 Solving -3 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7b = 0 + 3 -7b = 0 + 3 Combine like terms: 0 + 3 = 3 -7b = 3 Divide each side by '-7'. b = -0.4285714286 Simplifying b = -0.4285714286Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-0.4285714286, 2}
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