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Simplifying 3x2 = 54x Solving 3x2 = 54x Solving for variable 'x'. Reorder the terms: -54x + 3x2 = 54x + -54x Combine like terms: 54x + -54x = 0 -54x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-18 + x) = 0 Ignore the factor 3.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 '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Simplifying x = 18Solution
x = {0, 18}
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