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Simplifying (x + -4)(x) + -320 = 0 Reorder the terms: (-4 + x)(x) + -320 = 0 Reorder the terms for easier multiplication: x(-4 + x) + -320 = 0 (-4 * x + x * x) + -320 = 0 (-4x + x2) + -320 = 0 Reorder the terms: -320 + -4x + x2 = 0 Solving -320 + -4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-16, 20}
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