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Simplifying 12x = -1x2 + 192x Reorder the terms: 12x = 192x + -1x2 Solving 12x = 192x + -1x2 Solving for variable 'x'. Combine like terms: 12x + -192x = -180x -180x + x2 = 192x + -1x2 + -192x + x2 Reorder the terms: -180x + x2 = 192x + -192x + -1x2 + x2 Combine like terms: 192x + -192x = 0 -180x + x2 = 0 + -1x2 + x2 -180x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -180x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-180 + x) = 0Subproblem 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 '(-180 + x)' equal to zero and attempt to solve: Simplifying -180 + x = 0 Solving -180 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + x = 0 + 180 x = 0 + 180 Combine like terms: 0 + 180 = 180 x = 180 Simplifying x = 180Solution
x = {0, 180}
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