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Simplifying -1280 + (x + -8)(x) = 0 Reorder the terms: -1280 + (-8 + x)(x) = 0 Reorder the terms for easier multiplication: -1280 + x(-8 + x) = 0 -1280 + (-8 * x + x * x) = 0 -1280 + (-8x + x2) = 0 Solving -1280 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-32 + -1x)(40 + -1x) = 0Subproblem 1
Set the factor '(-32 + -1x)' equal to zero and attempt to solve: Simplifying -32 + -1x = 0 Solving -32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 0 + 32 -1x = 0 + 32 Combine like terms: 0 + 32 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32Subproblem 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 = {-32, 40}
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