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Simplifying 54x4 + -320x2 = 0 Reorder the terms: -320x2 + 54x4 = 0 Solving -320x2 + 54x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-160 + 27x2) = 0 Ignore the factor 2.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 '(-160 + 27x2)' equal to zero and attempt to solve: Simplifying -160 + 27x2 = 0 Solving -160 + 27x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + 160 + 27x2 = 0 + 160 Combine like terms: -160 + 160 = 0 0 + 27x2 = 0 + 160 27x2 = 0 + 160 Combine like terms: 0 + 160 = 160 27x2 = 160 Divide each side by '27'. x2 = 5.925925926 Simplifying x2 = 5.925925926 Take the square root of each side: x = {-2.434322478, 2.434322478}Solution
x = {0, -2.434322478, 2.434322478}
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