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Simplifying 6x2(x2 + -2) * 2x = 0 Reorder the terms: 6x2(-2 + x2) * 2x = 0 Reorder the terms for easier multiplication: 6 * 2x2 * x(-2 + x2) = 0 Multiply 6 * 2 12x2 * x(-2 + x2) = 0 Multiply x2 * x 12x3(-2 + x2) = 0 (-2 * 12x3 + x2 * 12x3) = 0 (-24x3 + 12x5) = 0 Solving -24x3 + 12x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x3'. 12x3(-2 + x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 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 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.414213562, 1.414213562}
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