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Simplifying 4x2 + 67x + 235 = 0 Reorder the terms: 235 + 67x + 4x2 = 0 Solving 235 + 67x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (47 + 4x)(5 + x) = 0Subproblem 1
Set the factor '(47 + 4x)' equal to zero and attempt to solve: Simplifying 47 + 4x = 0 Solving 47 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 4x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 4x = 0 + -47 4x = 0 + -47 Combine like terms: 0 + -47 = -47 4x = -47 Divide each side by '4'. x = -11.75 Simplifying x = -11.75Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-11.75, -5}
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