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Simplifying 50 = 200 + -5x + -1x2 Solving 50 = 200 + -5x + -1x2 Solving for variable 'x'. Combine like terms: 50 + -200 = -150 -150 + 5x + x2 = 200 + -5x + -1x2 + -200 + 5x + x2 Reorder the terms: -150 + 5x + x2 = 200 + -200 + -5x + 5x + -1x2 + x2 Combine like terms: 200 + -200 = 0 -150 + 5x + x2 = 0 + -5x + 5x + -1x2 + x2 -150 + 5x + x2 = -5x + 5x + -1x2 + x2 Combine like terms: -5x + 5x = 0 -150 + 5x + x2 = 0 + -1x2 + x2 -150 + 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -150 + 5x + x2 = 0 Factor a trinomial. (-15 + -1x)(10 + -1x) = 0Subproblem 1
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 = -15Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-15, 10}
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