3r^2-16r+3=3

Solution for 3r^2-16r+3=3 equation:

Simplifying
3r2 + -16r + 3 = 3

Reorder the terms:
3 + -16r + 3r2 = 3

Add '-3' to each side of the equation.
3 + -16r + -3 + 3r2 = 3 + -3

Reorder the terms:
3 + -3 + -16r + 3r2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -16r + 3r2 = 3 + -3
-16r + 3r2 = 3 + -3

Combine like terms: 3 + -3 = 0
-16r + 3r2 = 0

Solving
-16r + 3r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-16 + 3r) = 0

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

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-16 + 3r)' equal to zero and attempt to solve:

Simplifying
-16 + 3r = 0

Solving
-16 + 3r = 0

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

Add '16' to each side of the equation.
-16 + 16 + 3r = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3r = 0 + 16
3r = 0 + 16

Combine like terms: 0 + 16 = 16
3r = 16

Divide each side by '3'.
r = 5.333333333

Simplifying
r = 5.333333333
Solution
r = {0, 5.333333333}