(6r+8)(6r-1)=

Solution for (6r+8)(6r-1)= equation:

Simplifying
(6r + 8)(6r + -1) = 0

Reorder the terms:
(8 + 6r)(6r + -1) = 0

Reorder the terms:
(8 + 6r)(-1 + 6r) = 0

Multiply (8 + 6r) * (-1 + 6r)
(8(-1 + 6r) + 6r * (-1 + 6r)) = 0
((-1 * 8 + 6r * 8) + 6r * (-1 + 6r)) = 0
((-8 + 48r) + 6r * (-1 + 6r)) = 0
(-8 + 48r + (-1 * 6r + 6r * 6r)) = 0
(-8 + 48r + (-6r + 36r2)) = 0

Combine like terms: 48r + -6r = 42r
(-8 + 42r + 36r2) = 0

Solving
-8 + 42r + 36r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 21r + 18r2) = 0

Factor a trinomial.
2((-4 + -3r)(1 + -6r)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -3r)' equal to zero and attempt to solve:

Simplifying
-4 + -3r = 0

Solving
-4 + -3r = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3r = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3r = 0 + 4
-3r = 0 + 4

Combine like terms: 0 + 4 = 4
-3r = 4

Divide each side by '-3'.
r = -1.333333333

Simplifying
r = -1.333333333
Subproblem 2
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
Solution
r = {-1.333333333, 0.1666666667}