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Simplifying 12x5 + -22x3 + -20x = 0 Reorder the terms: -20x + -22x3 + 12x5 = 0 Solving -20x + -22x3 + 12x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-10 + -11x2 + 6x4) = 0 Factor a trinomial. 2x((-2 + -3x2)(5 + -2x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + -3x2)' equal to zero and attempt to solve: Simplifying -2 + -3x2 = 0 Solving -2 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x2 = 0 + 2 -3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -3x2 = 2 Divide each side by '-3'. x2 = -0.6666666667 Simplifying x2 = -0.6666666667 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 + -2x2)' equal to zero and attempt to solve: Simplifying 5 + -2x2 = 0 Solving 5 + -2x2 = 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 + -2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x2 = 0 + -5 -2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x2 = -5 Divide each side by '-2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {0, -1.58113883, 1.58113883}
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