9r^2-8(4-3r^2)=

Solution for 9r^2-8(4-3r^2)= equation:

Simplifying
9r2 + -8(4 + -3r2) = 0
9r2 + (4 * -8 + -3r2 * -8) = 0
9r2 + (-32 + 24r2) = 0

Reorder the terms:
-32 + 9r2 + 24r2 = 0

Combine like terms: 9r2 + 24r2 = 33r2
-32 + 33r2 = 0

Solving
-32 + 33r2 = 0

Solving for variable 'r'.

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

Add '32' to each side of the equation.
-32 + 32 + 33r2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 33r2 = 0 + 32
33r2 = 0 + 32

Combine like terms: 0 + 32 = 32
33r2 = 32

Divide each side by '33'.
r2 = 0.9696969697

Simplifying
r2 = 0.9696969697

Take the square root of each side:
r = {-0.984731928, 0.984731928}