(x^2+1)*2.25=x^2+1+2.25

Solution for (x^2+1)*2.25=x^2+1+2.25 equation:

Simplifying
(x2 + 1) * 2.25 = x2 + 1 + 2.25

Reorder the terms:
(1 + x2) * 2.25 = x2 + 1 + 2.25

Reorder the terms for easier multiplication:
2.25(1 + x2) = x2 + 1 + 2.25
(1 * 2.25 + x2 * 2.25) = x2 + 1 + 2.25
(2.25 + 2.25x2) = x2 + 1 + 2.25

Reorder the terms:
2.25 + 2.25x2 = 1 + 2.25 + x2

Combine like terms: 1 + 2.25 = 3.25
2.25 + 2.25x2 = 3.25 + x2

Solving
2.25 + 2.25x2 = 3.25 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
2.25 + 2.25x2 + -1x2 = 3.25 + x2 + -1x2

Combine like terms: 2.25x2 + -1x2 = 1.25x2
2.25 + 1.25x2 = 3.25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2.25 + 1.25x2 = 3.25 + 0
2.25 + 1.25x2 = 3.25

Add '-2.25' to each side of the equation.
2.25 + -2.25 + 1.25x2 = 3.25 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 1.25x2 = 3.25 + -2.25
1.25x2 = 3.25 + -2.25

Combine like terms: 3.25 + -2.25 = 1
1.25x2 = 1

Divide each side by '1.25'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}