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Simplifying x = -1(900 + 60x + x2) x = (900 * -1 + 60x * -1 + x2 * -1) x = (-900 + -60x + -1x2) Solving x = -900 + -60x + -1x2 Solving for variable 'x'. Reorder the terms: 900 + x + 60x + x2 = -900 + -60x + -1x2 + 900 + 60x + x2 Combine like terms: x + 60x = 61x 900 + 61x + x2 = -900 + -60x + -1x2 + 900 + 60x + x2 Reorder the terms: 900 + 61x + x2 = -900 + 900 + -60x + 60x + -1x2 + x2 Combine like terms: -900 + 900 = 0 900 + 61x + x2 = 0 + -60x + 60x + -1x2 + x2 900 + 61x + x2 = -60x + 60x + -1x2 + x2 Combine like terms: -60x + 60x = 0 900 + 61x + x2 = 0 + -1x2 + x2 900 + 61x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 900 + 61x + x2 = 0 Factor a trinomial. (36 + x)(25 + x) = 0Subproblem 1
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {-36, -25}
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