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Simplifying 8x3 + 4x3 + -4x = 0 Reorder the terms: -4x + 8x3 + 4x3 = 0 Combine like terms: 8x3 + 4x3 = 12x3 -4x + 12x3 = 0 Solving -4x + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1 + 3x2) = 0 Ignore the factor 4.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 + 3x2)' equal to zero and attempt to solve: Simplifying -1 + 3x2 = 0 Solving -1 + 3x2 = 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 + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x2 = 0 + 1 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x2 = 1 Divide each side by '3'. x2 = 0.3333333333 Simplifying x2 = 0.3333333333 Take the square root of each side: x = {-0.577350269, 0.577350269}Solution
x = {0, -0.577350269, 0.577350269}
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