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Simplifying 2x(x + -1) + -1x(x + -3) = 12 Reorder the terms: 2x(-1 + x) + -1x(x + -3) = 12 (-1 * 2x + x * 2x) + -1x(x + -3) = 12 (-2x + 2x2) + -1x(x + -3) = 12 Reorder the terms: -2x + 2x2 + -1x(-3 + x) = 12 -2x + 2x2 + (-3 * -1x + x * -1x) = 12 -2x + 2x2 + (3x + -1x2) = 12 Reorder the terms: -2x + 3x + 2x2 + -1x2 = 12 Combine like terms: -2x + 3x = 1x 1x + 2x2 + -1x2 = 12 Combine like terms: 2x2 + -1x2 = 1x2 1x + 1x2 = 12 Solving 1x + 1x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 1x + 1x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 1x + 1x2 = 0 Factor a trinomial. (-4 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 3}
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