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Simplifying 221 = 4X + X2 Solving 221 = 4X + X2 Solving for variable 'X'. Reorder the terms: 221 + -4X + -1X2 = 4X + -4X + X2 + -1X2 Combine like terms: 4X + -4X = 0 221 + -4X + -1X2 = 0 + X2 + -1X2 221 + -4X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 221 + -4X + -1X2 = 0 Factor a trinomial. (13 + -1X)(17 + X) = 0Subproblem 1
Set the factor '(13 + -1X)' equal to zero and attempt to solve: Simplifying 13 + -1X = 0 Solving 13 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1X = 0 + -13 -1X = 0 + -13 Combine like terms: 0 + -13 = -13 -1X = -13 Divide each side by '-1'. X = 13 Simplifying X = 13Subproblem 2
Set the factor '(17 + X)' equal to zero and attempt to solve: Simplifying 17 + X = 0 Solving 17 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + X = 0 + -17 Combine like terms: 17 + -17 = 0 0 + X = 0 + -17 X = 0 + -17 Combine like terms: 0 + -17 = -17 X = -17 Simplifying X = -17Solution
X = {13, -17}
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