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Simplifying x3 + -12x + 1 = 1 Reorder the terms: 1 + -12x + x3 = 1 Add '-1' to each side of the equation. 1 + -12x + -1 + x3 = 1 + -1 Reorder the terms: 1 + -1 + -12x + x3 = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -12x + x3 = 1 + -1 -12x + x3 = 1 + -1 Combine like terms: 1 + -1 = 0 -12x + x3 = 0 Solving -12x + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 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 '(-12 + x2)' equal to zero and attempt to solve: Simplifying -12 + x2 = 0 Solving -12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x2 = 0 + 12 x2 = 0 + 12 Combine like terms: 0 + 12 = 12 x2 = 12 Simplifying x2 = 12 Take the square root of each side: x = {-3.464101615, 3.464101615}Solution
x = {0, -3.464101615, 3.464101615}
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