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Simplifying x + -1(1 + -3x2) = 2x2 + -1(-1x + -3) x + (1 * -1 + -3x2 * -1) = 2x2 + -1(-1x + -3) x + (-1 + 3x2) = 2x2 + -1(-1x + -3) Reorder the terms: -1 + x + 3x2 = 2x2 + -1(-1x + -3) Reorder the terms: -1 + x + 3x2 = 2x2 + -1(-3 + -1x) -1 + x + 3x2 = 2x2 + (-3 * -1 + -1x * -1) -1 + x + 3x2 = 2x2 + (3 + 1x) Reorder the terms: -1 + x + 3x2 = 3 + 1x + 2x2 Solving -1 + x + 3x2 = 3 + 1x + 2x2 Solving for variable 'x'. Reorder the terms: -1 + -3 + x + -1x + 3x2 + -2x2 = 3 + 1x + 2x2 + -3 + -1x + -2x2 Combine like terms: -1 + -3 = -4 -4 + x + -1x + 3x2 + -2x2 = 3 + 1x + 2x2 + -3 + -1x + -2x2 Combine like terms: x + -1x = 0 -4 + 0 + 3x2 + -2x2 = 3 + 1x + 2x2 + -3 + -1x + -2x2 -4 + 3x2 + -2x2 = 3 + 1x + 2x2 + -3 + -1x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -4 + 1x2 = 3 + 1x + 2x2 + -3 + -1x + -2x2 Reorder the terms: -4 + 1x2 = 3 + -3 + 1x + -1x + 2x2 + -2x2 Combine like terms: 3 + -3 = 0 -4 + 1x2 = 0 + 1x + -1x + 2x2 + -2x2 -4 + 1x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 -4 + 1x2 = 0 + 2x2 + -2x2 -4 + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + 1x2 = 0 Factor a difference between two squares. (2 + 1x)(-2 + 1x) = 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 '(-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 = 2Solution
x = {-2, 2}
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