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Simplifying 39x6 + -65x4 = 0 Reorder the terms: -65x4 + 39x6 = 0 Solving -65x4 + 39x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '13x4'. 13x4(-5 + 3x2) = 0 Ignore the factor 13.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 '(-5 + 3x2)' equal to zero and attempt to solve: Simplifying -5 + 3x2 = 0 Solving -5 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x2 = 0 + 5 3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 3x2 = 5 Divide each side by '3'. x2 = 1.666666667 Simplifying x2 = 1.666666667 Take the square root of each side: x = {-1.290994449, 1.290994449}Solution
x = {-1.290994449, 1.290994449}
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