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