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Simplifying 12x3 + -4x = 2x Reorder the terms: -4x + 12x3 = 2x Solving -4x + 12x3 = 2x Solving for variable 'x'. Reorder the terms: -4x + -2x + 12x3 = 2x + -2x Combine like terms: -4x + -2x = -6x -6x + 12x3 = 2x + -2x Combine like terms: 2x + -2x = 0 -6x + 12x3 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1 + 2x2) = 0 Ignore the factor 6.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 + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 2x2 = 0 Solving -1 + 2x2 = 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 + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x2 = 0 + 1 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x2 = 1 Divide each side by '2'. x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}Solution
x = {0, -0.707106781, 0.707106781}
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