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Simplifying -1x2 + 30x + -180 = 20 Reorder the terms: -180 + 30x + -1x2 = 20 Solving -180 + 30x + -1x2 = 20 Solving for variable 'x'. Reorder the terms: -180 + -20 + 30x + -1x2 = 20 + -20 Combine like terms: -180 + -20 = -200 -200 + 30x + -1x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -200 + 30x + -1x2 = 0 Factor a trinomial. (-20 + x)(10 + -1x) = 0Subproblem 1
Set the factor '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 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 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Subproblem 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 = {20, 10}
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