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Simplifying 0 = x2 + x + -600 Reorder the terms: 0 = -600 + x + x2 Solving 0 = -600 + x + x2 Solving for variable 'x'. Combine like terms: 0 + 600 = 600 600 + -1x + -1x2 = -600 + x + x2 + 600 + -1x + -1x2 Reorder the terms: 600 + -1x + -1x2 = -600 + 600 + x + -1x + x2 + -1x2 Combine like terms: -600 + 600 = 0 600 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2 600 + -1x + -1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 600 + -1x + -1x2 = 0 + x2 + -1x2 600 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 600 + -1x + -1x2 = 0 Factor a trinomial. (24 + -1x)(25 + x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 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 = {24, -25}
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