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Simplifying 0 = 3x2 + 8x + -16 Reorder the terms: 0 = -16 + 8x + 3x2 Solving 0 = -16 + 8x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 16 = 16 16 + -8x + -3x2 = -16 + 8x + 3x2 + 16 + -8x + -3x2 Reorder the terms: 16 + -8x + -3x2 = -16 + 16 + 8x + -8x + 3x2 + -3x2 Combine like terms: -16 + 16 = 0 16 + -8x + -3x2 = 0 + 8x + -8x + 3x2 + -3x2 16 + -8x + -3x2 = 8x + -8x + 3x2 + -3x2 Combine like terms: 8x + -8x = 0 16 + -8x + -3x2 = 0 + 3x2 + -3x2 16 + -8x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 16 + -8x + -3x2 = 0 Factor a trinomial. (4 + -3x)(4 + x) = 0Subproblem 1
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 = 1.333333333Subproblem 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 = {1.333333333, -4}
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