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Simplifying 12x6 + -16x4 = 0 Reorder the terms: -16x4 + 12x6 = 0 Solving -16x4 + 12x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x4'. 4x4(-4 + 3x2) = 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 '(-4 + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x2 = 0 Solving -4 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x2 = 0 + 4 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 3x2 = 4 Divide each side by '3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}Solution
x = {-1.154700538, 1.154700538}
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