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