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Simplifying (x + 10)(2x + 8) = 0 Reorder the terms: (10 + x)(2x + 8) = 0 Reorder the terms: (10 + x)(8 + 2x) = 0 Multiply (10 + x) * (8 + 2x) (10(8 + 2x) + x(8 + 2x)) = 0 ((8 * 10 + 2x * 10) + x(8 + 2x)) = 0 ((80 + 20x) + x(8 + 2x)) = 0 (80 + 20x + (8 * x + 2x * x)) = 0 (80 + 20x + (8x + 2x2)) = 0 Combine like terms: 20x + 8x = 28x (80 + 28x + 2x2) = 0 Solving 80 + 28x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 14x + x2) = 0 Factor a trinomial. 2((10 + x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-10, -4}
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