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Simplifying x(x + -15) = 3(x + -27) Reorder the terms: x(-15 + x) = 3(x + -27) (-15 * x + x * x) = 3(x + -27) (-15x + x2) = 3(x + -27) Reorder the terms: -15x + x2 = 3(-27 + x) -15x + x2 = (-27 * 3 + x * 3) -15x + x2 = (-81 + 3x) Solving -15x + x2 = -81 + 3x Solving for variable 'x'. Reorder the terms: 81 + -15x + -3x + x2 = -81 + 3x + 81 + -3x Combine like terms: -15x + -3x = -18x 81 + -18x + x2 = -81 + 3x + 81 + -3x Reorder the terms: 81 + -18x + x2 = -81 + 81 + 3x + -3x Combine like terms: -81 + 81 = 0 81 + -18x + x2 = 0 + 3x + -3x 81 + -18x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 81 + -18x + x2 = 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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