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Simplifying (20x3) + -54x = 0 Reorder the terms: -54x + (20x3) = 0 Solving -54x + (20x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-27 + (10x2)) = 0 Ignore the factor 2.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 '(-27 + (10x2))' equal to zero and attempt to solve: Simplifying -27 + (10x2) = 0 Solving -27 + (10x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + (10x2) = 0 + 27 Combine like terms: -27 + 27 = 0 0 + (10x2) = 0 + 27 (10x2) = 0 + 27 Combine like terms: 0 + 27 = 27 (10x2) = 27 Divide each side by '10'. x2 = 2.7 Simplifying x2 = 2.7 Take the square root of each side: x = {-1.643167673, 1.643167673}Solution
x = {0, -1.643167673, 1.643167673}
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