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x2 + 7x = -2X2+6

3x2 + 7x -6 = 0

(3x-2)(x+3) = 0

Either 3x-2=0

or x+3=0

Either x=2/3

or x=-3

Plug the numbers into the original equation to check.

(2/3)2 + 7(2/3) = -2(2/3)2 +6

4/9 + 14/3 = -8/9 + 6

4/9 + 42/9 + 8/9 - 54/9 = 0

0=0

That one checks out. Let's try the second one.

(-3)2 + 7(-3) = -2(-3)2 + 6

9 -21 = -18 + 6

9 -21 +18 -6 = 0

0=0

The second one checks out also; so both answers are good.

Answer: x = 2/3 or x = -3

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