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Simplifying 56x2 + 118x + 26 = 0 Reorder the terms: 26 + 118x + 56x2 = 0 Solving 26 + 118x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(13 + 59x + 28x2) = 0 Factor a trinomial. 2((13 + 7x)(1 + 4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + 7x)' equal to zero and attempt to solve: Simplifying 13 + 7x = 0 Solving 13 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 0 + -13 7x = 0 + -13 Combine like terms: 0 + -13 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-1.857142857, -0.25}
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