5x^2-119x^2+254=0

Solution for 5x^2-119x^2+254=0 equation:

Simplifying
5x2 + -119x2 + 254 = 0

Reorder the terms:
254 + 5x2 + -119x2 = 0

Combine like terms: 5x2 + -119x2 = -114x2
254 + -114x2 = 0

Solving
254 + -114x2 = 0

Solving for variable 'x'.

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

Add '-254' to each side of the equation.
254 + -254 + -114x2 = 0 + -254

Combine like terms: 254 + -254 = 0
0 + -114x2 = 0 + -254
-114x2 = 0 + -254

Combine like terms: 0 + -254 = -254
-114x2 = -254

Divide each side by '-114'.
x2 = 2.228070175

Simplifying
x2 = 2.228070175

Take the square root of each side:
x = {-1.492672159, 1.492672159}