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Simplifying 5 + -1(x2 + -2x + 1) = (x2 + -4x + 4) Reorder the terms: 5 + -1(1 + -2x + x2) = (x2 + -4x + 4) 5 + (1 * -1 + -2x * -1 + x2 * -1) = (x2 + -4x + 4) 5 + (-1 + 2x + -1x2) = (x2 + -4x + 4) Combine like terms: 5 + -1 = 4 4 + 2x + -1x2 = (x2 + -4x + 4) Reorder the terms: 4 + 2x + -1x2 = (4 + -4x + x2) Remove parenthesis around (4 + -4x + x2) 4 + 2x + -1x2 = 4 + -4x + x2 Add '-4' to each side of the equation. 4 + 2x + -4 + -1x2 = 4 + -4x + -4 + x2 Reorder the terms: 4 + -4 + 2x + -1x2 = 4 + -4x + -4 + x2 Combine like terms: 4 + -4 = 0 0 + 2x + -1x2 = 4 + -4x + -4 + x2 2x + -1x2 = 4 + -4x + -4 + x2 Reorder the terms: 2x + -1x2 = 4 + -4 + -4x + x2 Combine like terms: 4 + -4 = 0 2x + -1x2 = 0 + -4x + x2 2x + -1x2 = -4x + x2 Solving 2x + -1x2 = -4x + x2 Solving for variable 'x'. Reorder the terms: 2x + 4x + -1x2 + -1x2 = -4x + x2 + 4x + -1x2 Combine like terms: 2x + 4x = 6x 6x + -1x2 + -1x2 = -4x + x2 + 4x + -1x2 Combine like terms: -1x2 + -1x2 = -2x2 6x + -2x2 = -4x + x2 + 4x + -1x2 Reorder the terms: 6x + -2x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 6x + -2x2 = 0 + x2 + -1x2 6x + -2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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, 3}
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