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Simplifying x2 = 5(x + 100) Reorder the terms: x2 = 5(100 + x) x2 = (100 * 5 + x * 5) x2 = (500 + 5x) Solving x2 = 500 + 5x Solving for variable 'x'. Reorder the terms: -500 + -5x + x2 = 500 + 5x + -500 + -5x Reorder the terms: -500 + -5x + x2 = 500 + -500 + 5x + -5x Combine like terms: 500 + -500 = 0 -500 + -5x + x2 = 0 + 5x + -5x -500 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -500 + -5x + x2 = 0 Factor a trinomial. (-20 + -1x)(25 + -1x) = 0Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 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 = {-20, 25}
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