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Simplifying 3x2 + 16x + 24 = 8 Reorder the terms: 24 + 16x + 3x2 = 8 Solving 24 + 16x + 3x2 = 8 Solving for variable 'x'. Reorder the terms: 24 + -8 + 16x + 3x2 = 8 + -8 Combine like terms: 24 + -8 = 16 16 + 16x + 3x2 = 8 + -8 Combine like terms: 8 + -8 = 0 16 + 16x + 3x2 = 0 Factor a trinomial. (4 + x)(4 + 3x) = 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 '(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 = {-4, -1.333333333}
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