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Simplifying 4b2 + -10b + -126 = 0 Reorder the terms: -126 + -10b + 4b2 = 0 Solving -126 + -10b + 4b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + -5b + 2b2) = 0 Factor a trinomial. 2((-9 + -2b)(7 + -1b)) = 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 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {-4.5, 7}
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