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Simplifying (7x + 7)(x + 2) = 0 Reorder the terms: (7 + 7x)(x + 2) = 0 Reorder the terms: (7 + 7x)(2 + x) = 0 Multiply (7 + 7x) * (2 + x) (7(2 + x) + 7x * (2 + x)) = 0 ((2 * 7 + x * 7) + 7x * (2 + x)) = 0 ((14 + 7x) + 7x * (2 + x)) = 0 (14 + 7x + (2 * 7x + x * 7x)) = 0 (14 + 7x + (14x + 7x2)) = 0 Combine like terms: 7x + 14x = 21x (14 + 21x + 7x2) = 0 Solving 14 + 21x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(2 + 3x + x2) = 0 Factor a trinomial. 7((2 + x)(1 + x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-2, -1}
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