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Simplifying x(x + -20) = 2925 Reorder the terms: x(-20 + x) = 2925 (-20 * x + x * x) = 2925 (-20x + x2) = 2925 Solving -20x + x2 = 2925 Solving for variable 'x'. Reorder the terms: -2925 + -20x + x2 = 2925 + -2925 Combine like terms: 2925 + -2925 = 0 -2925 + -20x + x2 = 0 Factor a trinomial. (-45 + -1x)(65 + -1x) = 0Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve: Simplifying 65 + -1x = 0 Solving 65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 0 + -65 -1x = 0 + -65 Combine like terms: 0 + -65 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65Solution
x = {-45, 65}
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