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Simplifying x2 = 300 + -5x Solving x2 = 300 + -5x Solving for variable 'x'. Reorder the terms: -300 + 5x + x2 = 300 + -5x + -300 + 5x Reorder the terms: -300 + 5x + x2 = 300 + -300 + -5x + 5x Combine like terms: 300 + -300 = 0 -300 + 5x + x2 = 0 + -5x + 5x -300 + 5x + x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -300 + 5x + x2 = 0 Factor a trinomial. (-20 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-20, 15}
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