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Simplifying x(3x + 5) = 68 Reorder the terms: x(5 + 3x) = 68 (5 * x + 3x * x) = 68 (5x + 3x2) = 68 Solving 5x + 3x2 = 68 Solving for variable 'x'. Reorder the terms: -68 + 5x + 3x2 = 68 + -68 Combine like terms: 68 + -68 = 0 -68 + 5x + 3x2 = 0 Factor a trinomial. (-17 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(-17 + -3x)' equal to zero and attempt to solve: Simplifying -17 + -3x = 0 Solving -17 + -3x = 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 + -3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 0 + 17 -3x = 0 + 17 Combine like terms: 0 + 17 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667Subproblem 2
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 = 4Solution
x = {-5.666666667, 4}
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