4i^2+27=36u^2+27

Solution for 4i^2+27=36u^2+27 equation:

Simplifying
4i2 + 27 = 36u2 + 27

Reorder the terms:
27 + 4i2 = 36u2 + 27

Reorder the terms:
27 + 4i2 = 27 + 36u2

Add '-27' to each side of the equation.
27 + -27 + 4i2 = 27 + -27 + 36u2

Combine like terms: 27 + -27 = 0
0 + 4i2 = 27 + -27 + 36u2
4i2 = 27 + -27 + 36u2

Combine like terms: 27 + -27 = 0
4i2 = 0 + 36u2
4i2 = 36u2

Solving
4i2 = 36u2

Solving for variable 'i'.

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

Divide each side by '4'.
i2 = 9u2

Simplifying
i2 = 9u2

Take the square root of each side:
i = {-3u, 3u}