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Simplifying 0 = 12x2 + 29x + 17 Reorder the terms: 0 = 17 + 29x + 12x2 Solving 0 = 17 + 29x + 12x2 Solving for variable 'x'. Combine like terms: 0 + -17 = -17 -17 + -29x + -12x2 = 17 + 29x + 12x2 + -17 + -29x + -12x2 Reorder the terms: -17 + -29x + -12x2 = 17 + -17 + 29x + -29x + 12x2 + -12x2 Combine like terms: 17 + -17 = 0 -17 + -29x + -12x2 = 0 + 29x + -29x + 12x2 + -12x2 -17 + -29x + -12x2 = 29x + -29x + 12x2 + -12x2 Combine like terms: 29x + -29x = 0 -17 + -29x + -12x2 = 0 + 12x2 + -12x2 -17 + -29x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -17 + -29x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(17 + 29x + 12x2) = 0 Factor a trinomial. -1((17 + 12x)(1 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(17 + 12x)' equal to zero and attempt to solve: Simplifying 17 + 12x = 0 Solving 17 + 12x = 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 + 12x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = 0 + -17 12x = 0 + -17 Combine like terms: 0 + -17 = -17 12x = -17 Divide each side by '12'. x = -1.416666667 Simplifying x = -1.416666667Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.416666667, -1}
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