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Simplifying 14x2 + 401x + 2760 = 0 Reorder the terms: 2760 + 401x + 14x2 = 0 Solving 2760 + 401x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (120 + 7x)(23 + 2x) = 0Subproblem 1
Set the factor '(120 + 7x)' equal to zero and attempt to solve: Simplifying 120 + 7x = 0 Solving 120 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 7x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 7x = 0 + -120 7x = 0 + -120 Combine like terms: 0 + -120 = -120 7x = -120 Divide each side by '7'. x = -17.14285714 Simplifying x = -17.14285714Subproblem 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 = {-17.14285714, -11.5}
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