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Simplifying 60x4 = 6x2 Solving 60x4 = 6x2 Solving for variable 'x'. Reorder the terms: -6x2 + 60x4 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x2 + 60x4 = 0 Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-1 + 10x2) = 0 Ignore the factor 6.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 '(-1 + 10x2)' equal to zero and attempt to solve: Simplifying -1 + 10x2 = 0 Solving -1 + 10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x2 = 0 + 1 10x2 = 0 + 1 Combine like terms: 0 + 1 = 1 10x2 = 1 Divide each side by '10'. x2 = 0.1 Simplifying x2 = 0.1 Take the square root of each side: x = {-0.316227766, 0.316227766}Solution
x = {0, -0.316227766, 0.316227766}
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