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Simplifying x4 + -3x2 = -2x2 Reorder the terms: -3x2 + x4 = -2x2 Solving -3x2 + x4 = -2x2 Solving for variable 'x'. Reorder the terms: -3x2 + 2x2 + x4 = -2x2 + 2x2 Combine like terms: -3x2 + 2x2 = -1x2 -1x2 + x4 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1x2 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1 + x2) = 0 Factor a difference between two squares. x2((1 + x)(-1 + x)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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 = -1Subproblem 3
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, 1}
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