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Find all solutions to the equation x^2 - 7x = 30 + 5x.
If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in a + bi form.

Jun 4, 2022

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Simplifying into a quadratic, we have: $$x^2 - 12x - 30 = 0$$.

Now, to solve, use the quadratic formula: $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$, where $$a = 1$$$$b = -12$$, and $$c = -30$$

Can you take it from here?

Jun 4, 2022