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Simplifying 20x4 + -12x2 = 0 Reorder the terms: -12x2 + 20x4 = 0 Solving -12x2 + 20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-3 + 5x2) = 0 Ignore the factor 4.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 '(-3 + 5x2)' equal to zero and attempt to solve: Simplifying -3 + 5x2 = 0 Solving -3 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x2 = 0 + 3 5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 5x2 = 3 Divide each side by '5'. x2 = 0.6 Simplifying x2 = 0.6 Take the square root of each side: x = {-0.774596669, 0.774596669}Solution
x = {0, -0.774596669, 0.774596669}
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