-6r(1-7r)=

Solution for -6r(1-7r)= equation:

Simplifying
-6r(1 + -7r) = 0
(1 * -6r + -7r * -6r) = 0
(-6r + 42r2) = 0

Solving
-6r + 42r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(-1 + 7r) = 0

Ignore the factor 6.
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 '(-1 + 7r)' equal to zero and attempt to solve:

Simplifying
-1 + 7r = 0

Solving
-1 + 7r = 0

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

Add '1' to each side of the equation.
-1 + 1 + 7r = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7r = 0 + 1
7r = 0 + 1

Combine like terms: 0 + 1 = 1
7r = 1

Divide each side by '7'.
r = 0.1428571429

Simplifying
r = 0.1428571429
Solution
r = {0, 0.1428571429}