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Simplifying 4x2 + 140x + 1081 = 0 Reorder the terms: 1081 + 140x + 4x2 = 0 Solving 1081 + 140x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (47 + 2x)(23 + 2x) = 0Subproblem 1
Set the factor '(47 + 2x)' equal to zero and attempt to solve: Simplifying 47 + 2x = 0 Solving 47 + 2x = 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 + 2x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 0 + -47 2x = 0 + -47 Combine like terms: 0 + -47 = -47 2x = -47 Divide each side by '2'. x = -23.5 Simplifying x = -23.5Subproblem 2
Set the factor '(23 + 2x)' equal to zero and attempt to solve: Simplifying 23 + 2x = 0 Solving 23 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 0 + -23 2x = 0 + -23 Combine like terms: 0 + -23 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5Solution
x = {-23.5, -11.5}
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