0
In this case, it's probably faster to simply solve it by completing the square than by trying to find it's factors:
x2 + 25x - 10974 = 0
x2 + 25x = 10974
x2 + 25x + 625/4 = 10974 + 625/4
(x + 25/2)2 = 10974 + 156.25
x + 25/2 = ± √11130.25
x + 25/2 = ± √44521 / 2
x = (-25 ± √44521) / 2
x = (-25 ± 211) / 2
x = 93, -118
This tells us that if we had factored the equation out in the first place, we would have wound up with:
(x - 93)(x + 118) = 0
To solve the equation x^2 + 25x - 10974 = 0, you can use factoring or the quadratic formula. Factoring may not be straightforward in this case, so let's use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. Using the coefficients from the equation, -b would be -25, a would be 1, and c would be -10974. Substituting these values into the formula will give you two possible solutions for x.
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