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Simplifying 25 = 3x2 + 5x + -17 Reorder the terms: 25 = -17 + 5x + 3x2 Solving 25 = -17 + 5x + 3x2 Solving for variable 'x'. Combine like terms: 25 + 17 = 42 42 + -5x + -3x2 = -17 + 5x + 3x2 + 17 + -5x + -3x2 Reorder the terms: 42 + -5x + -3x2 = -17 + 17 + 5x + -5x + 3x2 + -3x2 Combine like terms: -17 + 17 = 0 42 + -5x + -3x2 = 0 + 5x + -5x + 3x2 + -3x2 42 + -5x + -3x2 = 5x + -5x + 3x2 + -3x2 Combine like terms: 5x + -5x = 0 42 + -5x + -3x2 = 0 + 3x2 + -3x2 42 + -5x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 42 + -5x + -3x2 = 0 Factor a trinomial. (3 + -1x)(14 + 3x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667Solution
x = {3, -4.666666667}
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