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Simplifying 3x2 + 14x + 17 = 1 Reorder the terms: 17 + 14x + 3x2 = 1 Solving 17 + 14x + 3x2 = 1 Solving for variable 'x'. Reorder the terms: 17 + -1 + 14x + 3x2 = 1 + -1 Combine like terms: 17 + -1 = 16 16 + 14x + 3x2 = 1 + -1 Combine like terms: 1 + -1 = 0 16 + 14x + 3x2 = 0 Factor a trinomial. (8 + 3x)(2 + x) = 0Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 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 = {-2.666666667, -2}
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