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Simplifying 16x6 + -12x4 = 0 Reorder the terms: -12x4 + 16x6 = 0 Solving -12x4 + 16x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x4'. 4x4(-3 + 4x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(-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 = {-0.866025404, 0.866025404}
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