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Simplifying (3x + 27)(x + 25) = 0 Reorder the terms: (27 + 3x)(x + 25) = 0 Reorder the terms: (27 + 3x)(25 + x) = 0 Multiply (27 + 3x) * (25 + x) (27(25 + x) + 3x * (25 + x)) = 0 ((25 * 27 + x * 27) + 3x * (25 + x)) = 0 ((675 + 27x) + 3x * (25 + x)) = 0 (675 + 27x + (25 * 3x + x * 3x)) = 0 (675 + 27x + (75x + 3x2)) = 0 Combine like terms: 27x + 75x = 102x (675 + 102x + 3x2) = 0 Solving 675 + 102x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(225 + 34x + x2) = 0 Factor a trinomial. 3((25 + x)(9 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {-25, -9}
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