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Simplifying -5x2 + -19x + -12 = 2 Reorder the terms: -12 + -19x + -5x2 = 2 Solving -12 + -19x + -5x2 = 2 Solving for variable 'x'. Reorder the terms: -12 + -2 + -19x + -5x2 = 2 + -2 Combine like terms: -12 + -2 = -14 -14 + -19x + -5x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -14 + -19x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 19x + 5x2) = 0 Factor a trinomial. -1((14 + 5x)(1 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + 5x)' equal to zero and attempt to solve: Simplifying 14 + 5x = 0 Solving 14 + 5x = 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 + 5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 0 + -14 5x = 0 + -14 Combine like terms: 0 + -14 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8Subproblem 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 = {-2.8, -1}
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