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Simplifying X(X + 8) = 20 Reorder the terms: X(8 + X) = 20 (8 * X + X * X) = 20 (8X + X2) = 20 Solving 8X + X2 = 20 Solving for variable 'X'. Reorder the terms: -20 + 8X + X2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 8X + X2 = 0 Factor a trinomial. (-10 + -1X)(2 + -1X) = 0Subproblem 1
Set the factor '(-10 + -1X)' equal to zero and attempt to solve: Simplifying -10 + -1X = 0 Solving -10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1X = 0 + 10 -1X = 0 + 10 Combine like terms: 0 + 10 = 10 -1X = 10 Divide each side by '-1'. X = -10 Simplifying X = -10Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {-10, 2}
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