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Simplifying 6x2 + 59x + 145 = 0 Reorder the terms: 145 + 59x + 6x2 = 0 Solving 145 + 59x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(29 + 6x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(29 + 6x)' equal to zero and attempt to solve: Simplifying 29 + 6x = 0 Solving 29 + 6x = 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 + 6x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 6x = 0 + -29 6x = 0 + -29 Combine like terms: 0 + -29 = -29 6x = -29 Divide each side by '6'. x = -4.833333333 Simplifying x = -4.833333333Solution
x = {-5, -4.833333333}
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