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Simplifying x2 = 3x + 208 Reorder the terms: x2 = 208 + 3x Solving x2 = 208 + 3x Solving for variable 'x'. Reorder the terms: -208 + -3x + x2 = 208 + 3x + -208 + -3x Reorder the terms: -208 + -3x + x2 = 208 + -208 + 3x + -3x Combine like terms: 208 + -208 = 0 -208 + -3x + x2 = 0 + 3x + -3x -208 + -3x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -208 + -3x + x2 = 0 Factor a trinomial. (-13 + -1x)(16 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 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 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-13, 16}
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