4x^2-5=3.25x^2

Solution for 4x^2-5=3.25x^2 equation:

Simplifying
4x2 + -5 = 3.25x2

Reorder the terms:
-5 + 4x2 = 3.25x2

Solving
-5 + 4x2 = 3.25x2

Solving for variable 'x'.

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

Add '-3.25x2' to each side of the equation.
-5 + 4x2 + -3.25x2 = 3.25x2 + -3.25x2

Combine like terms: 4x2 + -3.25x2 = 0.75x2
-5 + 0.75x2 = 3.25x2 + -3.25x2

Combine like terms: 3.25x2 + -3.25x2 = 0.00
-5 + 0.75x2 = 0.00

Add '5' to each side of the equation.
-5 + 5 + 0.75x2 = 0.00 + 5

Combine like terms: -5 + 5 = 0
0 + 0.75x2 = 0.00 + 5
0.75x2 = 0.00 + 5

Combine like terms: 0.00 + 5 = 5
0.75x2 = 5

Divide each side by '0.75'.
x2 = 6.666666667

Simplifying
x2 = 6.666666667

Take the square root of each side:
x = {-2.581988898, 2.581988898}