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Simplifying x(3x + 13) + 14 = 0 Reorder the terms: x(13 + 3x) + 14 = 0 (13 * x + 3x * x) + 14 = 0 (13x + 3x2) + 14 = 0 Reorder the terms: 14 + 13x + 3x2 = 0 Solving 14 + 13x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 3x)(2 + x) = 0Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2.333333333, -2}
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