6x^2+1=5-0.25x^2

Solution for 6x^2+1=5-0.25x^2 equation:

Simplifying
6x2 + 1 = 5 + -0.25x2

Reorder the terms:
1 + 6x2 = 5 + -0.25x2

Solving
1 + 6x2 = 5 + -0.25x2

Solving for variable 'x'.

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

Add '0.25x2' to each side of the equation.
1 + 6x2 + 0.25x2 = 5 + -0.25x2 + 0.25x2

Combine like terms: 6x2 + 0.25x2 = 6.25x2
1 + 6.25x2 = 5 + -0.25x2 + 0.25x2

Combine like terms: -0.25x2 + 0.25x2 = 0.00
1 + 6.25x2 = 5 + 0.00
1 + 6.25x2 = 5

Add '-1' to each side of the equation.
1 + -1 + 6.25x2 = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 6.25x2 = 5 + -1
6.25x2 = 5 + -1

Combine like terms: 5 + -1 = 4
6.25x2 = 4

Divide each side by '6.25'.
x2 = 0.64

Simplifying
x2 = 0.64

Take the square root of each side:
x = {-0.8, 0.8}