5x^2+71-355=0

Solution for 5x^2+71-355=0 equation:

Simplifying
5x2 + 71 + -355 = 0

Reorder the terms:
71 + -355 + 5x2 = 0

Combine like terms: 71 + -355 = -284
-284 + 5x2 = 0

Solving
-284 + 5x2 = 0

Solving for variable 'x'.

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

Add '284' to each side of the equation.
-284 + 284 + 5x2 = 0 + 284

Combine like terms: -284 + 284 = 0
0 + 5x2 = 0 + 284
5x2 = 0 + 284

Combine like terms: 0 + 284 = 284
5x2 = 284

Divide each side by '5'.
x2 = 56.8

Simplifying
x2 = 56.8

Take the square root of each side:
x = {-7.536577473, 7.536577473}