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x2 - x = 12

Rewrite as x2 - x - 12 = 0

Now you can solve by factoring as you do most polynomials.

(x - ?)(x + ?)

Find the factors of -12 that also add up to -1

In this case, -4 and 3

(x - 4)(x + 3) = 0

Solve individually because anything multiplied by zero is zero

x - 4 = 0

x = 4

x + 3 = 0

x = -3

So your answers are -3,4. You can check by popping them into the original equation.

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