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Simplifying (6 + 2x)(5 + 2x) = 0 Multiply (6 + 2x) * (5 + 2x) (6(5 + 2x) + 2x * (5 + 2x)) = 0 ((5 * 6 + 2x * 6) + 2x * (5 + 2x)) = 0 ((30 + 12x) + 2x * (5 + 2x)) = 0 (30 + 12x + (5 * 2x + 2x * 2x)) = 0 (30 + 12x + (10x + 4x2)) = 0 Combine like terms: 12x + 10x = 22x (30 + 22x + 4x2) = 0 Solving 30 + 22x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 11x + 2x2) = 0 Factor a trinomial. 2((3 + x)(5 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-3, -2.5}
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