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Simplifying X2 + 24X + -2560 = 0 Reorder the terms: -2560 + 24X + X2 = 0 Solving -2560 + 24X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-64 + -1X)(40 + -1X) = 0Subproblem 1
Set the factor '(-64 + -1X)' equal to zero and attempt to solve: Simplifying -64 + -1X = 0 Solving -64 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -1X = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -1X = 0 + 64 -1X = 0 + 64 Combine like terms: 0 + 64 = 64 -1X = 64 Divide each side by '-1'. X = -64 Simplifying X = -64Subproblem 2
Set the factor '(40 + -1X)' equal to zero and attempt to solve: Simplifying 40 + -1X = 0 Solving 40 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1X = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1X = 0 + -40 -1X = 0 + -40 Combine like terms: 0 + -40 = -40 -1X = -40 Divide each side by '-1'. X = 40 Simplifying X = 40Solution
X = {-64, 40}
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