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Simplifying (x + 126)(x + 120) = 0 Reorder the terms: (126 + x)(x + 120) = 0 Reorder the terms: (126 + x)(120 + x) = 0 Multiply (126 + x) * (120 + x) (126(120 + x) + x(120 + x)) = 0 ((120 * 126 + x * 126) + x(120 + x)) = 0 ((15120 + 126x) + x(120 + x)) = 0 (15120 + 126x + (120 * x + x * x)) = 0 (15120 + 126x + (120x + x2)) = 0 Combine like terms: 126x + 120x = 246x (15120 + 246x + x2) = 0 Solving 15120 + 246x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (126 + x)(120 + x) = 0Subproblem 1
Set the factor '(126 + x)' equal to zero and attempt to solve: Simplifying 126 + x = 0 Solving 126 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + x = 0 + -126 Combine like terms: 126 + -126 = 0 0 + x = 0 + -126 x = 0 + -126 Combine like terms: 0 + -126 = -126 x = -126 Simplifying x = -126Subproblem 2
Set the factor '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120Solution
x = {-126, -120}
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