27=2r^2-5

Solution for 27=2r^2-5 equation:

Simplifying
27 = 2r2 + -5

Reorder the terms:
27 = -5 + 2r2

Solving
27 = -5 + 2r2

Solving for variable 'r'.

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

Add '-2r2' to each side of the equation.
27 + -2r2 = -5 + 2r2 + -2r2

Combine like terms: 2r2 + -2r2 = 0
27 + -2r2 = -5 + 0
27 + -2r2 = -5

Add '-27' to each side of the equation.
27 + -27 + -2r2 = -5 + -27

Combine like terms: 27 + -27 = 0
0 + -2r2 = -5 + -27
-2r2 = -5 + -27

Combine like terms: -5 + -27 = -32
-2r2 = -32

Divide each side by '-2'.
r2 = 16

Simplifying
r2 = 16

Take the square root of each side:
r = {-4, 4}