16*2r^3=r^2*x

Solution for 16*2r^3=r^2*x equation:

Simplifying
16 * 2r3 = r2 * x

Multiply 16 * 2
32r3 = r2 * x

Multiply r2 * x
32r3 = r2x

Solving
32r3 = r2x

Solving for variable 'r'.

Reorder the terms:
-1r2x + 32r3 = r2x + -1r2x

Combine like terms: r2x + -1r2x = 0
-1r2x + 32r3 = 0

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(-1x + 32r) = 0

Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve:

Simplifying
r2 = 0

Solving
r2 = 0

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

Simplifying
r2 = 0

Take the square root of each side:
r = {0}
Subproblem 2
Set the factor '(-1x + 32r)' equal to zero and attempt to solve:

Simplifying
-1x + 32r = 0

Reorder the terms:
32r + -1x = 0

Solving
32r + -1x = 0

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

Add 'x' to each side of the equation.
32r + -1x + x = 0 + x

Combine like terms: -1x + x = 0
32r + 0 = 0 + x
32r = 0 + x
Remove the zero:
32r = x

Divide each side by '32'.
r = 0.03125x

Simplifying
r = 0.03125x
Solution
r = {0, 0.03125x}