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Simplifying (x + -3)(x + -20) = 0 Reorder the terms: (-3 + x)(x + -20) = 0 Reorder the terms: (-3 + x)(-20 + x) = 0 Multiply (-3 + x) * (-20 + x) (-3(-20 + x) + x(-20 + x)) = 0 ((-20 * -3 + x * -3) + x(-20 + x)) = 0 ((60 + -3x) + x(-20 + x)) = 0 (60 + -3x + (-20 * x + x * x)) = 0 (60 + -3x + (-20x + x2)) = 0 Combine like terms: -3x + -20x = -23x (60 + -23x + x2) = 0 Solving 60 + -23x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, 20}
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