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Simplifying (2x + 4)(2x + 1) = 0 Reorder the terms: (4 + 2x)(2x + 1) = 0 Reorder the terms: (4 + 2x)(1 + 2x) = 0 Multiply (4 + 2x) * (1 + 2x) (4(1 + 2x) + 2x * (1 + 2x)) = 0 ((1 * 4 + 2x * 4) + 2x * (1 + 2x)) = 0 ((4 + 8x) + 2x * (1 + 2x)) = 0 (4 + 8x + (1 * 2x + 2x * 2x)) = 0 (4 + 8x + (2x + 4x2)) = 0 Combine like terms: 8x + 2x = 10x (4 + 10x + 4x2) = 0 Solving 4 + 10x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 5x + 2x2) = 0 Factor a trinomial. 2((2 + x)(1 + 2x)) = 0 Ignore the factor 2.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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-2, -0.5}
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