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Simplifying (120 + x2) + -1(200 + 11x) = 0 Remove parenthesis around (120 + x2) 120 + x2 + -1(200 + 11x) = 0 120 + x2 + (200 * -1 + 11x * -1) = 0 120 + x2 + (-200 + -11x) = 0 Reorder the terms: 120 + -200 + -11x + x2 = 0 Combine like terms: 120 + -200 = -80 -80 + -11x + x2 = 0 Solving -80 + -11x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 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 = {-5, 16}
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