28.8=i^2(20)

Solution for 28.8=i^2(20) equation:

Simplifying
28.8 = i2(20)

Reorder the terms for easier multiplication:
28.8 = 20i2

Solving
28.8 = 20i2

Solving for variable 'i'.

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

Add '-20i2' to each side of the equation.
28.8 + -20i2 = 20i2 + -20i2

Combine like terms: 20i2 + -20i2 = 0
28.8 + -20i2 = 0

Add '-28.8' to each side of the equation.
28.8 + -28.8 + -20i2 = 0 + -28.8

Combine like terms: 28.8 + -28.8 = 0.0
0.0 + -20i2 = 0 + -28.8
-20i2 = 0 + -28.8

Combine like terms: 0 + -28.8 = -28.8
-20i2 = -28.8

Divide each side by '-20'.
i2 = 1.44

Simplifying
i2 = 1.44

Take the square root of each side:
i = {-1.2, 1.2}