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Simplifying -1x2 + -32x + 2448 = 0 Reorder the terms: 2448 + -32x + -1x2 = 0 Solving 2448 + -32x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (36 + -1x)(68 + x) = 0Subproblem 1
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Subproblem 2
Set the factor '(68 + x)' equal to zero and attempt to solve: Simplifying 68 + x = 0 Solving 68 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + x = 0 + -68 x = 0 + -68 Combine like terms: 0 + -68 = -68 x = -68 Simplifying x = -68Solution
x = {36, -68}
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