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Simplifying 3x2 + -18x = 2x2 + -81 Reorder the terms: -18x + 3x2 = 2x2 + -81 Reorder the terms: -18x + 3x2 = -81 + 2x2 Solving -18x + 3x2 = -81 + 2x2 Solving for variable 'x'. Reorder the terms: 81 + -18x + 3x2 + -2x2 = -81 + 2x2 + 81 + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 81 + -18x + 1x2 = -81 + 2x2 + 81 + -2x2 Reorder the terms: 81 + -18x + 1x2 = -81 + 81 + 2x2 + -2x2 Combine like terms: -81 + 81 = 0 81 + -18x + 1x2 = 0 + 2x2 + -2x2 81 + -18x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 81 + -18x + 1x2 = 0 Factor a trinomial. (9 + -1x)(9 + -1x) = 0Subproblem 1
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 = 9Subproblem 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 = {9, 9}
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