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Simplifying x(x + 8) = 4080 Reorder the terms: x(8 + x) = 4080 (8 * x + x * x) = 4080 (8x + x2) = 4080 Solving 8x + x2 = 4080 Solving for variable 'x'. Reorder the terms: -4080 + 8x + x2 = 4080 + -4080 Combine like terms: 4080 + -4080 = 0 -4080 + 8x + x2 = 0 Factor a trinomial. (-68 + -1x)(60 + -1x) = 0Subproblem 1
Set the factor '(-68 + -1x)' equal to zero and attempt to solve: Simplifying -68 + -1x = 0 Solving -68 + -1x = 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 + -1x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = 0 + 68 -1x = 0 + 68 Combine like terms: 0 + 68 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-68, 60}
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