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Simplifying 480x + -2x2 = x Solving 480x + -2x2 = x Solving for variable 'x'. Reorder the terms: 480x + -1x + -2x2 = x + -1x Combine like terms: 480x + -1x = 479x 479x + -2x2 = x + -1x Combine like terms: x + -1x = 0 479x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(479 + -2x) = 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 '(479 + -2x)' equal to zero and attempt to solve: Simplifying 479 + -2x = 0 Solving 479 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-479' to each side of the equation. 479 + -479 + -2x = 0 + -479 Combine like terms: 479 + -479 = 0 0 + -2x = 0 + -479 -2x = 0 + -479 Combine like terms: 0 + -479 = -479 -2x = -479 Divide each side by '-2'. x = 239.5 Simplifying x = 239.5Solution
x = {0, 239.5}
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