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Simplifying 28 + 2x(x + 3) + 6(x + -3) = 0 Reorder the terms: 28 + 2x(3 + x) + 6(x + -3) = 0 28 + (3 * 2x + x * 2x) + 6(x + -3) = 0 28 + (6x + 2x2) + 6(x + -3) = 0 Reorder the terms: 28 + 6x + 2x2 + 6(-3 + x) = 0 28 + 6x + 2x2 + (-3 * 6 + x * 6) = 0 28 + 6x + 2x2 + (-18 + 6x) = 0 Reorder the terms: 28 + -18 + 6x + 6x + 2x2 = 0 Combine like terms: 28 + -18 = 10 10 + 6x + 6x + 2x2 = 0 Combine like terms: 6x + 6x = 12x 10 + 12x + 2x2 = 0 Solving 10 + 12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 6x + x2) = 0 Factor a trinomial. 2((5 + x)(1 + x)) = 0 Ignore the factor 2.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 '(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 = {-5, -1}
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