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Simplifying x6 + 6x4 + -27x4 = 0 Reorder the terms: 6x4 + -27x4 + x6 = 0 Combine like terms: 6x4 + -27x4 = -21x4 -21x4 + x6 = 0 Solving -21x4 + x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(-21 + x2) = 0Subproblem 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 '(-21 + x2)' equal to zero and attempt to solve: Simplifying -21 + x2 = 0 Solving -21 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x2 = 0 + 21 x2 = 0 + 21 Combine like terms: 0 + 21 = 21 x2 = 21 Simplifying x2 = 21 Take the square root of each side: x = {-4.582575695, 4.582575695}Solution
x = {-4.582575695, 4.582575695}
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