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Simplifying 110 + 4X = (X2 + 5X) Reorder the terms: 110 + 4X = (5X + X2) Remove parenthesis around (5X + X2) 110 + 4X = 5X + X2 Solving 110 + 4X = 5X + X2 Solving for variable 'X'. Combine like terms: 4X + -5X = -1X 110 + -1X + -1X2 = 5X + X2 + -5X + -1X2 Reorder the terms: 110 + -1X + -1X2 = 5X + -5X + X2 + -1X2 Combine like terms: 5X + -5X = 0 110 + -1X + -1X2 = 0 + X2 + -1X2 110 + -1X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 110 + -1X + -1X2 = 0 Factor a trinomial. (10 + -1X)(11 + X) = 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 '(11 + X)' equal to zero and attempt to solve: Simplifying 11 + X = 0 Solving 11 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + X = 0 + -11 X = 0 + -11 Combine like terms: 0 + -11 = -11 X = -11 Simplifying X = -11Solution
X = {10, -11}
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