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Simplifying (3x + -2)(x + 4) + 11 = 0 Reorder the terms: (-2 + 3x)(x + 4) + 11 = 0 Reorder the terms: (-2 + 3x)(4 + x) + 11 = 0 Multiply (-2 + 3x) * (4 + x) (-2(4 + x) + 3x * (4 + x)) + 11 = 0 ((4 * -2 + x * -2) + 3x * (4 + x)) + 11 = 0 ((-8 + -2x) + 3x * (4 + x)) + 11 = 0 (-8 + -2x + (4 * 3x + x * 3x)) + 11 = 0 (-8 + -2x + (12x + 3x2)) + 11 = 0 Combine like terms: -2x + 12x = 10x (-8 + 10x + 3x2) + 11 = 0 Reorder the terms: -8 + 11 + 10x + 3x2 = 0 Combine like terms: -8 + 11 = 3 3 + 10x + 3x2 = 0 Solving 3 + 10x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(1 + 3x) = 0Subproblem 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 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-3, -0.3333333333}
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