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Solve for x:
4x² + 36x = - 120

Sagot :

First, get all the term to one side:

4x^2 + 36x + 120 = 0

Then, factor out the greatest common factor of the terms.

4(x^2 + 9x + 30) = 0

Next, this trinomial is not factorable, so you need to use the quadratic formula:

(-9 +- sqrt(81 -4(1)(30))) / 2(1)

Both solutions to this quadratic are imaginary

x = (-9 + isqrt(39)) / 2
x = (-9 - isqrt(39)) / 2

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