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Simplifying 208 = x(x + 3) Reorder the terms: 208 = x(3 + x) 208 = (3 * x + x * x) 208 = (3x + x2) Solving 208 = 3x + x2 Solving for variable 'x'. Reorder the terms: 208 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 208 + -3x + -1x2 = 0 + x2 + -1x2 208 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 208 + -3x + -1x2 = 0 Factor a trinomial. (13 + -1x)(16 + 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {13, -16}
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