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6x+50=x^2+10

 Sep 23, 2016
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Solve for x:
6 x+50 = x^2+10

Subtract x^2+10 from both sides:
-x^2+6 x+40 = 0

The left hand side factors into a product with three terms:
-(x-10) (x+4) = 0

Multiply both sides by -1:
(x-10) (x+4) = 0

Split into two equations:
x-10 = 0 or x+4 = 0

Add 10 to both sides:
x = 10 or x+4 = 0

Subtract 4 from both sides:
Answer: |x = 10                     or                        x = -4

 Sep 23, 2016

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