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Simplifying (x + 3)(x + 5) = 3 Reorder the terms: (3 + x)(x + 5) = 3 Reorder the terms: (3 + x)(5 + x) = 3 Multiply (3 + x) * (5 + x) (3(5 + x) + x(5 + x)) = 3 ((5 * 3 + x * 3) + x(5 + x)) = 3 ((15 + 3x) + x(5 + x)) = 3 (15 + 3x + (5 * x + x * x)) = 3 (15 + 3x + (5x + x2)) = 3 Combine like terms: 3x + 5x = 8x (15 + 8x + x2) = 3 Solving 15 + 8x + x2 = 3 Solving for variable 'x'. Reorder the terms: 15 + -3 + 8x + x2 = 3 + -3 Combine like terms: 15 + -3 = 12 12 + 8x + x2 = 3 + -3 Combine like terms: 3 + -3 = 0 12 + 8x + x2 = 0 Factor a trinomial. (6 + x)(2 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -2}
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