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Simplifying 5x4 = 60x2 Solving 5x4 = 60x2 Solving for variable 'x'. Reorder the terms: -60x2 + 5x4 = 60x2 + -60x2 Combine like terms: 60x2 + -60x2 = 0 -60x2 + 5x4 = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-12 + x2) = 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 '(-12 + x2)' equal to zero and attempt to solve: Simplifying -12 + x2 = 0 Solving -12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x2 = 0 + 12 x2 = 0 + 12 Combine like terms: 0 + 12 = 12 x2 = 12 Simplifying x2 = 12 Take the square root of each side: x = {-3.464101615, 3.464101615}Solution
x = {0, -3.464101615, 3.464101615}
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