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