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Simplifying 125x2 + -20x4y8 = 0 Solving 125x2 + -20x4y8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(25 + -4x2y8) = 0 Factor a difference between two squares. 5x2((5 + 2xy4)(5 + -2xy4)) = 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 '(5 + 2xy4)' equal to zero and attempt to solve: Simplifying 5 + 2xy4 = 0 Solving 5 + 2xy4 = 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 + 2xy4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2xy4 = 0 + -5 2xy4 = 0 + -5 Combine like terms: 0 + -5 = -5 2xy4 = -5 Divide each side by '2y4'. x = -2.5y-4 Simplifying x = -2.5y-4Subproblem 3
Set the factor '(5 + -2xy4)' equal to zero and attempt to solve: Simplifying 5 + -2xy4 = 0 Solving 5 + -2xy4 = 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 + -2xy4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2xy4 = 0 + -5 -2xy4 = 0 + -5 Combine like terms: 0 + -5 = -5 -2xy4 = -5 Divide each side by '-2y4'. x = 2.5y-4 Simplifying x = 2.5y-4Solution
x = {0, -2.5y-4, 2.5y-4}
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