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Simplifying 1008 = 72x + x2 Solving 1008 = 72x + x2 Solving for variable 'x'. Reorder the terms: 1008 + -72x + -1x2 = 72x + -72x + x2 + -1x2 Combine like terms: 72x + -72x = 0 1008 + -72x + -1x2 = 0 + x2 + -1x2 1008 + -72x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1008 + -72x + -1x2 = 0 Factor a trinomial. (12 + -1x)(84 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(84 + x)' equal to zero and attempt to solve: Simplifying 84 + x = 0 Solving 84 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + x = 0 + -84 x = 0 + -84 Combine like terms: 0 + -84 = -84 x = -84 Simplifying x = -84Solution
x = {12, -84}
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