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Simplifying 7x2 + 39x + 50 = 0 Reorder the terms: 50 + 39x + 7x2 = 0 Solving 50 + 39x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + 7x)(2 + x) = 0Subproblem 1
Set the factor '(25 + 7x)' equal to zero and attempt to solve: Simplifying 25 + 7x = 0 Solving 25 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 0 + -25 7x = 0 + -25 Combine like terms: 0 + -25 = -25 7x = -25 Divide each side by '7'. x = -3.571428571 Simplifying x = -3.571428571Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3.571428571, -2}
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