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Simplifying (5x3 + 2x2 + -1x) + -1(2x3 + -1x2 + x) = 3x3 + x2 Reorder the terms: (-1x + 2x2 + 5x3) + -1(2x3 + -1x2 + x) = 3x3 + x2 Remove parenthesis around (-1x + 2x2 + 5x3) -1x + 2x2 + 5x3 + -1(2x3 + -1x2 + x) = 3x3 + x2 Reorder the terms: -1x + 2x2 + 5x3 + -1(x + -1x2 + 2x3) = 3x3 + x2 -1x + 2x2 + 5x3 + (x * -1 + -1x2 * -1 + 2x3 * -1) = 3x3 + x2 -1x + 2x2 + 5x3 + (-1x + 1x2 + -2x3) = 3x3 + x2 Reorder the terms: -1x + -1x + 2x2 + 1x2 + 5x3 + -2x3 = 3x3 + x2 Combine like terms: -1x + -1x = -2x -2x + 2x2 + 1x2 + 5x3 + -2x3 = 3x3 + x2 Combine like terms: 2x2 + 1x2 = 3x2 -2x + 3x2 + 5x3 + -2x3 = 3x3 + x2 Combine like terms: 5x3 + -2x3 = 3x3 -2x + 3x2 + 3x3 = 3x3 + x2 Reorder the terms: -2x + 3x2 + 3x3 = x2 + 3x3 Add '-3x3' to each side of the equation. -2x + 3x2 + 3x3 + -3x3 = x2 + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -2x + 3x2 + 0 = x2 + 3x3 + -3x3 -2x + 3x2 = x2 + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -2x + 3x2 = x2 + 0 -2x + 3x2 = x2 Solving -2x + 3x2 = x2 Solving for variable 'x'. Combine like terms: 3x2 + -1x2 = 2x2 -2x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + x) = 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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