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Simplifying x2 + -3x = 2(x2 + 9 + -6x) Reorder the terms: -3x + x2 = 2(x2 + 9 + -6x) Reorder the terms: -3x + x2 = 2(9 + -6x + x2) -3x + x2 = (9 * 2 + -6x * 2 + x2 * 2) -3x + x2 = (18 + -12x + 2x2) Solving -3x + x2 = 18 + -12x + 2x2 Solving for variable 'x'. Reorder the terms: -18 + -3x + 12x + x2 + -2x2 = 18 + -12x + 2x2 + -18 + 12x + -2x2 Combine like terms: -3x + 12x = 9x -18 + 9x + x2 + -2x2 = 18 + -12x + 2x2 + -18 + 12x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -18 + 9x + -1x2 = 18 + -12x + 2x2 + -18 + 12x + -2x2 Reorder the terms: -18 + 9x + -1x2 = 18 + -18 + -12x + 12x + 2x2 + -2x2 Combine like terms: 18 + -18 = 0 -18 + 9x + -1x2 = 0 + -12x + 12x + 2x2 + -2x2 -18 + 9x + -1x2 = -12x + 12x + 2x2 + -2x2 Combine like terms: -12x + 12x = 0 -18 + 9x + -1x2 = 0 + 2x2 + -2x2 -18 + 9x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -18 + 9x + -1x2 = 0 Factor a trinomial. (-6 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {6, 3}
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