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Simplifying 0 = 60x4 + -72x2 Reorder the terms: 0 = -72x2 + 60x4 Solving 0 = -72x2 + 60x4 Solving for variable 'x'. Remove the zero: 72x2 + -60x4 = -72x2 + 60x4 + 72x2 + -60x4 Reorder the terms: 72x2 + -60x4 = -72x2 + 72x2 + 60x4 + -60x4 Combine like terms: -72x2 + 72x2 = 0 72x2 + -60x4 = 0 + 60x4 + -60x4 72x2 + -60x4 = 60x4 + -60x4 Combine like terms: 60x4 + -60x4 = 0 72x2 + -60x4 = 0 Factor out the Greatest Common Factor (GCF), '12x2'. 12x2(6 + -5x2) = 0 Ignore the factor 12.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 '(6 + -5x2)' equal to zero and attempt to solve: Simplifying 6 + -5x2 = 0 Solving 6 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x2 = 0 + -6 -5x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -5x2 = -6 Divide each side by '-5'. x2 = 1.2 Simplifying x2 = 1.2 Take the square root of each side: x = {-1.095445115, 1.095445115}Solution
x = {0, -1.095445115, 1.095445115}
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