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Simplifying (x + 4)(x + 3) = 2 Reorder the terms: (4 + x)(x + 3) = 2 Reorder the terms: (4 + x)(3 + x) = 2 Multiply (4 + x) * (3 + x) (4(3 + x) + x(3 + x)) = 2 ((3 * 4 + x * 4) + x(3 + x)) = 2 ((12 + 4x) + x(3 + x)) = 2 (12 + 4x + (3 * x + x * x)) = 2 (12 + 4x + (3x + x2)) = 2 Combine like terms: 4x + 3x = 7x (12 + 7x + x2) = 2 Solving 12 + 7x + x2 = 2 Solving for variable 'x'. Reorder the terms: 12 + -2 + 7x + x2 = 2 + -2 Combine like terms: 12 + -2 = 10 10 + 7x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 10 + 7x + x2 = 0 Factor a trinomial. (5 + x)(2 + x) = 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 '(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 = {-5, -2}
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