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Simplifying -605x4 + 20x2 = 0 Reorder the terms: 20x2 + -605x4 = 0 Solving 20x2 + -605x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(4 + -121x2) = 0 Factor a difference between two squares. 5x2((2 + 11x)(2 + -11x)) = 0 Ignore the factor 5.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 '(2 + 11x)' equal to zero and attempt to solve: Simplifying 2 + 11x = 0 Solving 2 + 11x = 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 + 11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 0 + -2 11x = 0 + -2 Combine like terms: 0 + -2 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818Subproblem 3
Set the factor '(2 + -11x)' equal to zero and attempt to solve: Simplifying 2 + -11x = 0 Solving 2 + -11x = 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 + -11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = 0 + -2 -11x = 0 + -2 Combine like terms: 0 + -2 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818Solution
x = {0, -0.1818181818, 0.1818181818}
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