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Simplifying x2 + 20 + -6x = 180 Reorder the terms: 20 + -6x + x2 = 180 Solving 20 + -6x + x2 = 180 Solving for variable 'x'. Reorder the terms: 20 + -180 + -6x + x2 = 180 + -180 Combine like terms: 20 + -180 = -160 -160 + -6x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -160 + -6x + x2 = 0 Factor a trinomial. (-10 + -1x)(16 + -1x) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-10, 16}
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