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Simplifying (x + 2)(6x + 5) = 0 Reorder the terms: (2 + x)(6x + 5) = 0 Reorder the terms: (2 + x)(5 + 6x) = 0 Multiply (2 + x) * (5 + 6x) (2(5 + 6x) + x(5 + 6x)) = 0 ((5 * 2 + 6x * 2) + x(5 + 6x)) = 0 ((10 + 12x) + x(5 + 6x)) = 0 (10 + 12x + (5 * x + 6x * x)) = 0 (10 + 12x + (5x + 6x2)) = 0 Combine like terms: 12x + 5x = 17x (10 + 17x + 6x2) = 0 Solving 10 + 17x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(5 + 6x) = 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 '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-2, -0.8333333333}
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