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Simplifying 4x2 + 43x + 108 = 0 Reorder the terms: 108 + 43x + 4x2 = 0 Solving 108 + 43x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (27 + 4x)(4 + x) = 0Subproblem 1
Set the factor '(27 + 4x)' equal to zero and attempt to solve: Simplifying 27 + 4x = 0 Solving 27 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 0 + -27 4x = 0 + -27 Combine like terms: 0 + -27 = -27 4x = -27 Divide each side by '4'. x = -6.75 Simplifying x = -6.75Subproblem 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 = {-6.75, -4}
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