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Simplifying -16x + -48 = -8x2 + -43x + -57 Reorder the terms: -48 + -16x = -8x2 + -43x + -57 Reorder the terms: -48 + -16x = -57 + -43x + -8x2 Solving -48 + -16x = -57 + -43x + -8x2 Solving for variable 'x'. Reorder the terms: -48 + 57 + -16x + 43x + 8x2 = -57 + -43x + -8x2 + 57 + 43x + 8x2 Combine like terms: -48 + 57 = 9 9 + -16x + 43x + 8x2 = -57 + -43x + -8x2 + 57 + 43x + 8x2 Combine like terms: -16x + 43x = 27x 9 + 27x + 8x2 = -57 + -43x + -8x2 + 57 + 43x + 8x2 Reorder the terms: 9 + 27x + 8x2 = -57 + 57 + -43x + 43x + -8x2 + 8x2 Combine like terms: -57 + 57 = 0 9 + 27x + 8x2 = 0 + -43x + 43x + -8x2 + 8x2 9 + 27x + 8x2 = -43x + 43x + -8x2 + 8x2 Combine like terms: -43x + 43x = 0 9 + 27x + 8x2 = 0 + -8x2 + 8x2 9 + 27x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 9 + 27x + 8x2 = 0 Factor a trinomial. (3 + x)(3 + 8x) = 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 '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-3, -0.375}
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