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Simplifying 77x2 + 58x + 8 = 0 Reorder the terms: 8 + 58x + 77x2 = 0 Solving 8 + 58x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 7x)(2 + 11x) = 0Subproblem 1
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 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 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(2 + 11x)' equal to zero and attempt to solve: Simplifying 2 + 11x = 0 Solving 2 + 11x = 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 + 11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 0 + -2 11x = 0 + -2 Combine like terms: 0 + -2 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818Solution
x = {-0.5714285714, -0.1818181818}
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