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Simplifying 221 = (4 + x)(x) Reorder the terms for easier multiplication: 221 = x(4 + x) 221 = (4 * x + x * x) 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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