3x^2+17x=17x+60

Solution for 3x^2+17x=17x+60 equation:

Simplifying
3x2 + 17x = 17x + 60

Reorder the terms:
17x + 3x2 = 17x + 60

Reorder the terms:
17x + 3x2 = 60 + 17x

Add '-17x' to each side of the equation.
17x + -17x + 3x2 = 60 + 17x + -17x

Combine like terms: 17x + -17x = 0
0 + 3x2 = 60 + 17x + -17x
3x2 = 60 + 17x + -17x

Combine like terms: 17x + -17x = 0
3x2 = 60 + 0
3x2 = 60

Solving
3x2 = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '3'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}