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Simplifying (3 + -2x)(x + 4) = 0 Reorder the terms: (3 + -2x)(4 + x) = 0 Multiply (3 + -2x) * (4 + x) (3(4 + x) + -2x * (4 + x)) = 0 ((4 * 3 + x * 3) + -2x * (4 + x)) = 0 ((12 + 3x) + -2x * (4 + x)) = 0 (12 + 3x + (4 * -2x + x * -2x)) = 0 (12 + 3x + (-8x + -2x2)) = 0 Combine like terms: 3x + -8x = -5x (12 + -5x + -2x2) = 0 Solving 12 + -5x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(4 + x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {1.5, -4}
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