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Simplifying 2x2 = 9x + 81 Reorder the terms: 2x2 = 81 + 9x Solving 2x2 = 81 + 9x Solving for variable 'x'. Reorder the terms: -81 + -9x + 2x2 = 81 + 9x + -81 + -9x Reorder the terms: -81 + -9x + 2x2 = 81 + -81 + 9x + -9x Combine like terms: 81 + -81 = 0 -81 + -9x + 2x2 = 0 + 9x + -9x -81 + -9x + 2x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -81 + -9x + 2x2 = 0 Factor a trinomial. (-9 + -2x)(9 + -1x) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-4.5, 9}
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