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Simplifying 3(x + 4) + 2(x + 4)(x + -1) = 0 Reorder the terms: 3(4 + x) + 2(x + 4)(x + -1) = 0 (4 * 3 + x * 3) + 2(x + 4)(x + -1) = 0 (12 + 3x) + 2(x + 4)(x + -1) = 0 Reorder the terms: 12 + 3x + 2(4 + x)(x + -1) = 0 Reorder the terms: 12 + 3x + 2(4 + x)(-1 + x) = 0 Multiply (4 + x) * (-1 + x) 12 + 3x + 2(4(-1 + x) + x(-1 + x)) = 0 12 + 3x + 2((-1 * 4 + x * 4) + x(-1 + x)) = 0 12 + 3x + 2((-4 + 4x) + x(-1 + x)) = 0 12 + 3x + 2(-4 + 4x + (-1 * x + x * x)) = 0 12 + 3x + 2(-4 + 4x + (-1x + x2)) = 0 Combine like terms: 4x + -1x = 3x 12 + 3x + 2(-4 + 3x + x2) = 0 12 + 3x + (-4 * 2 + 3x * 2 + x2 * 2) = 0 12 + 3x + (-8 + 6x + 2x2) = 0 Reorder the terms: 12 + -8 + 3x + 6x + 2x2 = 0 Combine like terms: 12 + -8 = 4 4 + 3x + 6x + 2x2 = 0 Combine like terms: 3x + 6x = 9x 4 + 9x + 2x2 = 0 Solving 4 + 9x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(1 + 2x) = 0Subproblem 1
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 = -4Subproblem 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 = {-4, -0.5}
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