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Simplifying 12x2 + 89x + 164 = 0 Reorder the terms: 164 + 89x + 12x2 = 0 Solving 164 + 89x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(41 + 12x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(41 + 12x)' equal to zero and attempt to solve: Simplifying 41 + 12x = 0 Solving 41 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 12x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 12x = 0 + -41 12x = 0 + -41 Combine like terms: 0 + -41 = -41 12x = -41 Divide each side by '12'. x = -3.416666667 Simplifying x = -3.416666667Solution
x = {-4, -3.416666667}
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