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Simplifying (x + -205)(x + -18) = 0 Reorder the terms: (-205 + x)(x + -18) = 0 Reorder the terms: (-205 + x)(-18 + x) = 0 Multiply (-205 + x) * (-18 + x) (-205(-18 + x) + x(-18 + x)) = 0 ((-18 * -205 + x * -205) + x(-18 + x)) = 0 ((3690 + -205x) + x(-18 + x)) = 0 (3690 + -205x + (-18 * x + x * x)) = 0 (3690 + -205x + (-18x + x2)) = 0 Combine like terms: -205x + -18x = -223x (3690 + -223x + x2) = 0 Solving 3690 + -223x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + -1x)(205 + -1x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(205 + -1x)' equal to zero and attempt to solve: Simplifying 205 + -1x = 0 Solving 205 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-205' to each side of the equation. 205 + -205 + -1x = 0 + -205 Combine like terms: 205 + -205 = 0 0 + -1x = 0 + -205 -1x = 0 + -205 Combine like terms: 0 + -205 = -205 -1x = -205 Divide each side by '-1'. x = 205 Simplifying x = 205Solution
x = {18, 205}
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