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Simplifying 6x2 + 26x = -8 Reorder the terms: 26x + 6x2 = -8 Solving 26x + 6x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 26x + 6x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 26x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 13x + 3x2) = 0 Factor a trinomial. 2((4 + x)(1 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-4, -0.3333333333}
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