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Simplifying 3(x + 5)(x + 5) = 0 Reorder the terms: 3(5 + x)(x + 5) = 0 Reorder the terms: 3(5 + x)(5 + x) = 0 Multiply (5 + x) * (5 + x) 3(5(5 + x) + x(5 + x)) = 0 3((5 * 5 + x * 5) + x(5 + x)) = 0 3((25 + 5x) + x(5 + x)) = 0 3(25 + 5x + (5 * x + x * x)) = 0 3(25 + 5x + (5x + x2)) = 0 Combine like terms: 5x + 5x = 10x 3(25 + 10x + x2) = 0 (25 * 3 + 10x * 3 + x2 * 3) = 0 (75 + 30x + 3x2) = 0 Solving 75 + 30x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(25 + 10x + x2) = 0 Factor a trinomial. 3((5 + x)(5 + x)) = 0 Ignore the factor 3.Subproblem 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 '(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 = -5Solution
x = {-5, -5}
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