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Simplifying (x + 8)(3x + 4) = 0 Reorder the terms: (8 + x)(3x + 4) = 0 Reorder the terms: (8 + x)(4 + 3x) = 0 Multiply (8 + x) * (4 + 3x) (8(4 + 3x) + x(4 + 3x)) = 0 ((4 * 8 + 3x * 8) + x(4 + 3x)) = 0 ((32 + 24x) + x(4 + 3x)) = 0 (32 + 24x + (4 * x + 3x * x)) = 0 (32 + 24x + (4x + 3x2)) = 0 Combine like terms: 24x + 4x = 28x (32 + 28x + 3x2) = 0 Solving 32 + 28x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(4 + 3x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {-8, -1.333333333}
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