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Simplifying 2x(x + -4) = 3(1 + -1x) Reorder the terms: 2x(-4 + x) = 3(1 + -1x) (-4 * 2x + x * 2x) = 3(1 + -1x) (-8x + 2x2) = 3(1 + -1x) -8x + 2x2 = (1 * 3 + -1x * 3) -8x + 2x2 = (3 + -3x) Solving -8x + 2x2 = 3 + -3x Solving for variable 'x'. Reorder the terms: -3 + -8x + 3x + 2x2 = 3 + -3x + -3 + 3x Combine like terms: -8x + 3x = -5x -3 + -5x + 2x2 = 3 + -3x + -3 + 3x Reorder the terms: -3 + -5x + 2x2 = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -3 + -5x + 2x2 = 0 + -3x + 3x -3 + -5x + 2x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -5x + 2x2 = 0 Factor a trinomial. (-1 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 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 = {-0.5, 3}
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