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Simplifying 4x2 + 67x + 204 = 0 Reorder the terms: 204 + 67x + 4x2 = 0 Solving 204 + 67x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (51 + 4x)(4 + x) = 0Subproblem 1
Set the factor '(51 + 4x)' equal to zero and attempt to solve: Simplifying 51 + 4x = 0 Solving 51 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 4x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 0 + -51 4x = 0 + -51 Combine like terms: 0 + -51 = -51 4x = -51 Divide each side by '4'. x = -12.75 Simplifying x = -12.75Subproblem 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 = {-12.75, -4}
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