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Simplifying 6x2 + 17x + -14 = 25 Reorder the terms: -14 + 17x + 6x2 = 25 Solving -14 + 17x + 6x2 = 25 Solving for variable 'x'. Reorder the terms: -14 + -25 + 17x + 6x2 = 25 + -25 Combine like terms: -14 + -25 = -39 -39 + 17x + 6x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -39 + 17x + 6x2 = 0 Factor a trinomial. (-13 + -3x)(3 + -2x) = 0Subproblem 1
Set the factor '(-13 + -3x)' equal to zero and attempt to solve: Simplifying -13 + -3x = 0 Solving -13 + -3x = 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 + -3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 0 + 13 -3x = 0 + 13 Combine like terms: 0 + 13 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-4.333333333, 1.5}
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