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Simplifying 8x2 + 45x + 58 = 0 Reorder the terms: 58 + 45x + 8x2 = 0 Solving 58 + 45x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (29 + 8x)(2 + x) = 0Subproblem 1
Set the factor '(29 + 8x)' equal to zero and attempt to solve: Simplifying 29 + 8x = 0 Solving 29 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 0 + -29 8x = 0 + -29 Combine like terms: 0 + -29 = -29 8x = -29 Divide each side by '8'. x = -3.625 Simplifying x = -3.625Subproblem 2
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 = -2Solution
x = {-3.625, -2}
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