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Simplifying x3 + -3x + 1 = 1 Reorder the terms: 1 + -3x + x3 = 1 Add '-1' to each side of the equation. 1 + -3x + -1 + x3 = 1 + -1 Reorder the terms: 1 + -1 + -3x + x3 = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -3x + x3 = 1 + -1 -3x + x3 = 1 + -1 Combine like terms: 1 + -1 = 0 -3x + x3 = 0 Solving -3x + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + x2) = 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 '(-3 + x2)' equal to zero and attempt to solve: Simplifying -3 + x2 = 0 Solving -3 + x2 = 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 + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 0 + 3 x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {0, -1.732050808, 1.732050808}
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