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Simplifying 68 = x(x + 10) + 3x Reorder the terms: 68 = x(10 + x) + 3x 68 = (10 * x + x * x) + 3x 68 = (10x + x2) + 3x Reorder the terms: 68 = 10x + 3x + x2 Combine like terms: 10x + 3x = 13x 68 = 13x + x2 Solving 68 = 13x + x2 Solving for variable 'x'. Reorder the terms: 68 + -13x + -1x2 = 13x + -13x + x2 + -1x2 Combine like terms: 13x + -13x = 0 68 + -13x + -1x2 = 0 + x2 + -1x2 68 + -13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 68 + -13x + -1x2 = 0 Factor a trinomial. (4 + -1x)(17 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -17}
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