5x^2-34=2171

Solution for 5x^2-34=2171 equation:

Simplifying
5x2 + -34 = 2171

Reorder the terms:
-34 + 5x2 = 2171

Solving
-34 + 5x2 = 2171

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 5x2 = 2171 + 34

Combine like terms: -34 + 34 = 0
0 + 5x2 = 2171 + 34
5x2 = 2171 + 34

Combine like terms: 2171 + 34 = 2205
5x2 = 2205

Divide each side by '5'.
x2 = 441

Simplifying
x2 = 441

Take the square root of each side:
x = {-21, 21}