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Simplifying 6x3 + -4x = 0 Reorder the terms: -4x + 6x3 = 0 Solving -4x + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-2 + 3x2) = 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 '(-2 + 3x2)' equal to zero and attempt to solve: Simplifying -2 + 3x2 = 0 Solving -2 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x2 = 0 + 2 3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 3x2 = 2 Divide each side by '3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}Solution
x = {0, -0.816496581, 0.816496581}
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