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Simplifying 20x10 + 8x6 + -12x2 = 0 Reorder the terms: -12x2 + 8x6 + 20x10 = 0 Solving -12x2 + 8x6 + 20x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-3 + 2x4 + 5x8) = 0 Factor a trinomial. 4x2((-1 + -1x4)(3 + -5x4)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1 + -1x4)' equal to zero and attempt to solve: Simplifying -1 + -1x4 = 0 Solving -1 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x4 = 0 + 1 -1x4 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x4 = 1 Divide each side by '-1'. x4 = -1 Simplifying x4 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -5x4)' equal to zero and attempt to solve: Simplifying 3 + -5x4 = 0 Solving 3 + -5x4 = 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 + -5x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x4 = 0 + -3 -5x4 = 0 + -3 Combine like terms: 0 + -3 = -3 -5x4 = -3 Divide each side by '-5'. x4 = 0.6 Simplifying x4 = 0.6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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