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Simplifying x2 = 120 + 26x Solving x2 = 120 + 26x Solving for variable 'x'. Reorder the terms: -120 + -26x + x2 = 120 + 26x + -120 + -26x Reorder the terms: -120 + -26x + x2 = 120 + -120 + 26x + -26x Combine like terms: 120 + -120 = 0 -120 + -26x + x2 = 0 + 26x + -26x -120 + -26x + x2 = 26x + -26x Combine like terms: 26x + -26x = 0 -120 + -26x + x2 = 0 Factor a trinomial. (-4 + -1x)(30 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-4, 30}
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