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Simplifying 10 = X(X + -3) Reorder the terms: 10 = X(-3 + X) 10 = (-3 * X + X * X) 10 = (-3X + X2) Solving 10 = -3X + X2 Solving for variable 'X'. Reorder the terms: 10 + 3X + -1X2 = -3X + 3X + X2 + -1X2 Combine like terms: -3X + 3X = 0 10 + 3X + -1X2 = 0 + X2 + -1X2 10 + 3X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 10 + 3X + -1X2 = 0 Factor a trinomial. (5 + -1X)(2 + X) = 0Subproblem 1
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {5, -2}
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