Solve for x:
3 x+8 = x^2+4
Subtract x^2+4 from both sides:
-x^2+3 x+4 = 0
The left hand side factors into a product with three terms:
-((x-4) (x+1)) = 0
Multiply both sides by -1:
(x-4) (x+1) = 0
Split into two equations:
x-4 = 0 or x+1 = 0
Add 4 to both sides:
x = 4 or x+1 = 0
Subtract 1 from both sides:
Answer: |x = 4 or x = -1
+129840 8+3*x=2^2+x^2
8 + 3x = 4 + x^2 subtract 8 + 3x from both sides
0 = 4 + x^2 - 8 - 3x simplify
0 = x^2 - 3x - 4 factor
0 = ( x - 4) ( x + 1)
Set both factors to 0
x - 4 = 0 and x + 1 = 0
add 4 to both sides subtract 1 from each side
x = 4 x = -1
And those are the two solutions
