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Simplifying (x + 3)(4x + 2) = 0 Reorder the terms: (3 + x)(4x + 2) = 0 Reorder the terms: (3 + x)(2 + 4x) = 0 Multiply (3 + x) * (2 + 4x) (3(2 + 4x) + x(2 + 4x)) = 0 ((2 * 3 + 4x * 3) + x(2 + 4x)) = 0 ((6 + 12x) + x(2 + 4x)) = 0 (6 + 12x + (2 * x + 4x * x)) = 0 (6 + 12x + (2x + 4x2)) = 0 Combine like terms: 12x + 2x = 14x (6 + 14x + 4x2) = 0 Solving 6 + 14x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 7x + 2x2) = 0 Factor a trinomial. 2((3 + x)(1 + 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 '(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 = {-3, -0.5}
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