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Simplifying (x + 2)(3x + 4) = 0 Reorder the terms: (2 + x)(3x + 4) = 0 Reorder the terms: (2 + x)(4 + 3x) = 0 Multiply (2 + x) * (4 + 3x) (2(4 + 3x) + x(4 + 3x)) = 0 ((4 * 2 + 3x * 2) + x(4 + 3x)) = 0 ((8 + 6x) + x(4 + 3x)) = 0 (8 + 6x + (4 * x + 3x * x)) = 0 (8 + 6x + (4x + 3x2)) = 0 Combine like terms: 6x + 4x = 10x (8 + 10x + 3x2) = 0 Solving 8 + 10x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(4 + 3x) = 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {-2, -1.333333333}
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