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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((9 + -2b)(7 + 4b)) = 0 Ignore the factor 2.Subproblem 1
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 = 4.5Subproblem 2
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 = -1.75Solution
b = {4.5, -1.75}
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