(7r-1)(8r+3)=

Solution for (7r-1)(8r+3)= equation:

Simplifying
(7r + -1)(8r + 3) = 0

Reorder the terms:
(-1 + 7r)(8r + 3) = 0

Reorder the terms:
(-1 + 7r)(3 + 8r) = 0

Multiply (-1 + 7r) * (3 + 8r)
(-1(3 + 8r) + 7r * (3 + 8r)) = 0
((3 * -1 + 8r * -1) + 7r * (3 + 8r)) = 0
((-3 + -8r) + 7r * (3 + 8r)) = 0
(-3 + -8r + (3 * 7r + 8r * 7r)) = 0
(-3 + -8r + (21r + 56r2)) = 0

Combine like terms: -8r + 21r = 13r
(-3 + 13r + 56r2) = 0

Solving
-3 + 13r + 56r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-3 + -8r)(1 + -7r) = 0

Subproblem 1
Set the factor '(-3 + -8r)' equal to zero and attempt to solve:

Simplifying
-3 + -8r = 0

Solving
-3 + -8r = 0

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

Add '3' to each side of the equation.
-3 + 3 + -8r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8r = 0 + 3
-8r = 0 + 3

Combine like terms: 0 + 3 = 3
-8r = 3

Divide each side by '-8'.
r = -0.375

Simplifying
r = -0.375
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 = {-0.375, 0.1428571429}