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Simplifying (4 + 2x)(x) = 126 Reorder the terms for easier multiplication: x(4 + 2x) = 126 (4 * x + 2x * x) = 126 (4x + 2x2) = 126 Solving 4x + 2x2 = 126 Solving for variable 'x'. Reorder the terms: -126 + 4x + 2x2 = 126 + -126 Combine like terms: 126 + -126 = 0 -126 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + 2x + x2) = 0 Factor a trinomial. 2((-9 + -1x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-9, 7}
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