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Simplifying 2X6 + -2X4 + -40X2 = 0 Reorder the terms: -40X2 + -2X4 + 2X6 = 0 Solving -40X2 + -2X4 + 2X6 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X2'. 2X2(-20 + -1X2 + X4) = 0 Factor a trinomial. 2X2((-4 + -1X2)(5 + -1X2)) = 0 Ignore the factor 2.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 '(-4 + -1X2)' equal to zero and attempt to solve: Simplifying -4 + -1X2 = 0 Solving -4 + -1X2 = 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 + -1X2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X2 = 0 + 4 -1X2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1X2 = 4 Divide each side by '-1'. X2 = -4 Simplifying X2 = -4 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 '(5 + -1X2)' equal to zero and attempt to solve: Simplifying 5 + -1X2 = 0 Solving 5 + -1X2 = 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 + -1X2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X2 = 0 + -5 -1X2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1X2 = -5 Divide each side by '-1'. X2 = 5 Simplifying X2 = 5 Take the square root of each side: X = {-2.236067978, 2.236067978}Solution
X = {0, -2.236067978, 2.236067978}
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