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Simplifying 16b2 + -44b + -126 = 0 Reorder the terms: -126 + -44b + 16b2 = 0 Solving -126 + -44b + 16b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + -22b + 8b2) = 0 Factor a trinomial. 2((-7 + -4b)(9 + -2b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -4b)' equal to zero and attempt to solve: Simplifying -7 + -4b = 0 Solving -7 + -4b = 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 + -4b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4b = 0 + 7 -4b = 0 + 7 Combine like terms: 0 + 7 = 7 -4b = 7 Divide each side by '-4'. b = -1.75 Simplifying b = -1.75Subproblem 2
Set the factor '(9 + -2b)' equal to zero and attempt to solve: Simplifying 9 + -2b = 0 Solving 9 + -2b = 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 + -2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2b = 0 + -9 -2b = 0 + -9 Combine like terms: 0 + -9 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5Solution
b = {-1.75, 4.5}
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