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Simplifying x3 + -4x2 + 4x + -3 = (x + -3) Reorder the terms: -3 + 4x + -4x2 + x3 = (x + -3) Reorder the terms: -3 + 4x + -4x2 + x3 = (-3 + x) Remove parenthesis around (-3 + x) -3 + 4x + -4x2 + x3 = -3 + x Add '3' to each side of the equation. -3 + 4x + -4x2 + 3 + x3 = -3 + 3 + x Reorder the terms: -3 + 3 + 4x + -4x2 + x3 = -3 + 3 + x Combine like terms: -3 + 3 = 0 0 + 4x + -4x2 + x3 = -3 + 3 + x 4x + -4x2 + x3 = -3 + 3 + x Combine like terms: -3 + 3 = 0 4x + -4x2 + x3 = 0 + x 4x + -4x2 + x3 = x Solving 4x + -4x2 + x3 = x Solving for variable 'x'. Reorder the terms: 4x + -1x + -4x2 + x3 = x + -1x Combine like terms: 4x + -1x = 3x 3x + -4x2 + x3 = x + -1x Combine like terms: x + -1x = 0 3x + -4x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -4x + x2) = 0 Factor a trinomial. x((1 + -1x)(3 + -1x)) = 0Subproblem 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 3
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, 1, 3}
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