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Simplifying 12x2 = 198x Solving 12x2 = 198x Solving for variable 'x'. Reorder the terms: -198x + 12x2 = 198x + -198x Combine like terms: 198x + -198x = 0 -198x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-33 + 2x) = 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 '(-33 + 2x)' equal to zero and attempt to solve: Simplifying -33 + 2x = 0 Solving -33 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 2x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = 0 + 33 2x = 0 + 33 Combine like terms: 0 + 33 = 33 2x = 33 Divide each side by '2'. x = 16.5 Simplifying x = 16.5Solution
x = {0, 16.5}
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