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Simplifying x2 + 100 + -2x = 180 Reorder the terms: 100 + -2x + x2 = 180 Solving 100 + -2x + x2 = 180 Solving for variable 'x'. Reorder the terms: 100 + -180 + -2x + x2 = 180 + -180 Combine like terms: 100 + -180 = -80 -80 + -2x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -80 + -2x + x2 = 0 Factor a trinomial. (-8 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 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 = {-8, 10}
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