4x^2-x^2-2.25=0

Solution for 4x^2-x^2-2.25=0 equation:

Simplifying
4x2 + -1x2 + -2.25 = 0

Reorder the terms:
-2.25 + 4x2 + -1x2 = 0

Combine like terms: 4x2 + -1x2 = 3x2
-2.25 + 3x2 = 0

Solving
-2.25 + 3x2 = 0

Solving for variable 'x'.

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

Add '2.25' to each side of the equation.
-2.25 + 2.25 + 3x2 = 0 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + 3x2 = 0 + 2.25
3x2 = 0 + 2.25

Combine like terms: 0 + 2.25 = 2.25
3x2 = 2.25

Divide each side by '3'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}