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Simplifying 60x3 + -54x = 0 Reorder the terms: -54x + 60x3 = 0 Solving -54x + 60x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-9 + 10x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-9 + 10x2)' equal to zero and attempt to solve: Simplifying -9 + 10x2 = 0 Solving -9 + 10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10x2 = 0 + 9 10x2 = 0 + 9 Combine like terms: 0 + 9 = 9 10x2 = 9 Divide each side by '10'. x2 = 0.9 Simplifying x2 = 0.9 Take the square root of each side: x = {-0.948683298, 0.948683298}Solution
x = {0, -0.948683298, 0.948683298}
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