(6r+1)(5r-6)=

Solution for (6r+1)(5r-6)= equation:

Simplifying
(6r + 1)(5r + -6) = 0

Reorder the terms:
(1 + 6r)(5r + -6) = 0

Reorder the terms:
(1 + 6r)(-6 + 5r) = 0

Multiply (1 + 6r) * (-6 + 5r)
(1(-6 + 5r) + 6r * (-6 + 5r)) = 0
((-6 * 1 + 5r * 1) + 6r * (-6 + 5r)) = 0
((-6 + 5r) + 6r * (-6 + 5r)) = 0
(-6 + 5r + (-6 * 6r + 5r * 6r)) = 0
(-6 + 5r + (-36r + 30r2)) = 0

Combine like terms: 5r + -36r = -31r
(-6 + -31r + 30r2) = 0

Solving
-6 + -31r + 30r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-1 + -6r)(6 + -5r) = 0

Subproblem 1
Set the factor '(-1 + -6r)' equal to zero and attempt to solve:

Simplifying
-1 + -6r = 0

Solving
-1 + -6r = 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 + -6r = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6r = 0 + 1
-6r = 0 + 1

Combine like terms: 0 + 1 = 1
-6r = 1

Divide each side by '-6'.
r = -0.1666666667

Simplifying
r = -0.1666666667
Subproblem 2
Set the factor '(6 + -5r)' equal to zero and attempt to solve:

Simplifying
6 + -5r = 0

Solving
6 + -5r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5r = 0 + -6
-5r = 0 + -6

Combine like terms: 0 + -6 = -6
-5r = -6

Divide each side by '-5'.
r = 1.2

Simplifying
r = 1.2
Solution
r = {-0.1666666667, 1.2}