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Simplifying 2x2 = -11x + 90 Reorder the terms: 2x2 = 90 + -11x Solving 2x2 = 90 + -11x Solving for variable 'x'. Reorder the terms: -90 + 11x + 2x2 = 90 + -11x + -90 + 11x Reorder the terms: -90 + 11x + 2x2 = 90 + -90 + -11x + 11x Combine like terms: 90 + -90 = 0 -90 + 11x + 2x2 = 0 + -11x + 11x -90 + 11x + 2x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -90 + 11x + 2x2 = 0 Factor a trinomial. (-10 + -1x)(9 + -2x) = 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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-10, 4.5}
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