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Simplifying 15x2 + 34x + 8 = 0 Reorder the terms: 8 + 34x + 15x2 = 0 Solving 8 + 34x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(4 + 15x) = 0Subproblem 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 '(4 + 15x)' equal to zero and attempt to solve: Simplifying 4 + 15x = 0 Solving 4 + 15x = 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 + 15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 0 + -4 15x = 0 + -4 Combine like terms: 0 + -4 = -4 15x = -4 Divide each side by '15'. x = -0.2666666667 Simplifying x = -0.2666666667Solution
x = {-2, -0.2666666667}
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