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Simplifying 0 = 10x2 + 29x + 18 Reorder the terms: 0 = 18 + 29x + 10x2 Solving 0 = 18 + 29x + 10x2 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + -29x + -10x2 = 18 + 29x + 10x2 + -18 + -29x + -10x2 Reorder the terms: -18 + -29x + -10x2 = 18 + -18 + 29x + -29x + 10x2 + -10x2 Combine like terms: 18 + -18 = 0 -18 + -29x + -10x2 = 0 + 29x + -29x + 10x2 + -10x2 -18 + -29x + -10x2 = 29x + -29x + 10x2 + -10x2 Combine like terms: 29x + -29x = 0 -18 + -29x + -10x2 = 0 + 10x2 + -10x2 -18 + -29x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -18 + -29x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 29x + 10x2) = 0 Factor a trinomial. -1((2 + x)(9 + 10x)) = 0 Ignore the factor -1.Subproblem 1
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 = -2Subproblem 2
Set the factor '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Solution
x = {-2, -0.9}
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