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Simplifying (x + -5)(x) = 644 Reorder the terms: (-5 + x)(x) = 644 Reorder the terms for easier multiplication: x(-5 + x) = 644 (-5 * x + x * x) = 644 (-5x + x2) = 644 Solving -5x + x2 = 644 Solving for variable 'x'. Reorder the terms: -644 + -5x + x2 = 644 + -644 Combine like terms: 644 + -644 = 0 -644 + -5x + x2 = 0 Factor a trinomial. (-23 + -1x)(28 + -1x) = 0Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve: Simplifying -23 + -1x = 0 Solving -23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 0 + 23 -1x = 0 + 23 Combine like terms: 0 + 23 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-23, 28}
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