r^2+18+16=4r^2

Solution for r^2+18+16=4r^2 equation:

Simplifying
r2 + 18 + 16 = 4r2

Reorder the terms:
18 + 16 + r2 = 4r2

Combine like terms: 18 + 16 = 34
34 + r2 = 4r2

Solving
34 + r2 = 4r2

Solving for variable 'r'.

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

Add '-4r2' to each side of the equation.
34 + r2 + -4r2 = 4r2 + -4r2

Combine like terms: r2 + -4r2 = -3r2
34 + -3r2 = 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
34 + -3r2 = 0

Add '-34' to each side of the equation.
34 + -34 + -3r2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -3r2 = 0 + -34
-3r2 = 0 + -34

Combine like terms: 0 + -34 = -34
-3r2 = -34

Divide each side by '-3'.
r2 = 11.33333333

Simplifying
r2 = 11.33333333

Take the square root of each side:
r = {-3.366501646, 3.366501646}