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Simplifying x = 900 + -60x + x2 Solving x = 900 + -60x + x2 Solving for variable 'x'. Reorder the terms: -900 + x + 60x + -1x2 = 900 + -60x + x2 + -900 + 60x + -1x2 Combine like terms: x + 60x = 61x -900 + 61x + -1x2 = 900 + -60x + x2 + -900 + 60x + -1x2 Reorder the terms: -900 + 61x + -1x2 = 900 + -900 + -60x + 60x + x2 + -1x2 Combine like terms: 900 + -900 = 0 -900 + 61x + -1x2 = 0 + -60x + 60x + x2 + -1x2 -900 + 61x + -1x2 = -60x + 60x + x2 + -1x2 Combine like terms: -60x + 60x = 0 -900 + 61x + -1x2 = 0 + x2 + -1x2 -900 + 61x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -900 + 61x + -1x2 = 0 Factor a trinomial. (-36 + x)(25 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {36, 25}
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