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Simplifying 8x3 + -6x = 0 Reorder the terms: -6x + 8x3 = 0 Solving -6x + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 4x2) = 0 Ignore the factor 2.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 '(-3 + 4x2)' equal to zero and attempt to solve: Simplifying -3 + 4x2 = 0 Solving -3 + 4x2 = 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 + 4x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x2 = 0 + 3 4x2 = 0 + 3 Combine like terms: 0 + 3 = 3 4x2 = 3 Divide each side by '4'. x2 = 0.75 Simplifying x2 = 0.75 Take the square root of each side: x = {-0.866025404, 0.866025404}Solution
x = {0, -0.866025404, 0.866025404}
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