-66=(3r+14)(r-5)

Solution for -66=(3r+14)(r-5) equation:

Simplifying
-66 = (3r + 14)(r + -5)

Reorder the terms:
-66 = (14 + 3r)(r + -5)

Reorder the terms:
-66 = (14 + 3r)(-5 + r)

Multiply (14 + 3r) * (-5 + r)
-66 = (14(-5 + r) + 3r * (-5 + r))
-66 = ((-5 * 14 + r * 14) + 3r * (-5 + r))
-66 = ((-70 + 14r) + 3r * (-5 + r))
-66 = (-70 + 14r + (-5 * 3r + r * 3r))
-66 = (-70 + 14r + (-15r + 3r2))

Combine like terms: 14r + -15r = -1r
-66 = (-70 + -1r + 3r2)

Solving
-66 = -70 + -1r + 3r2

Solving for variable 'r'.

Combine like terms: -66 + 70 = 4
4 + r + -3r2 = -70 + -1r + 3r2 + 70 + r + -3r2

Reorder the terms:
4 + r + -3r2 = -70 + 70 + -1r + r + 3r2 + -3r2

Combine like terms: -70 + 70 = 0
4 + r + -3r2 = 0 + -1r + r + 3r2 + -3r2
4 + r + -3r2 = -1r + r + 3r2 + -3r2

Combine like terms: -1r + r = 0
4 + r + -3r2 = 0 + 3r2 + -3r2
4 + r + -3r2 = 3r2 + -3r2

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

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

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 + r)' equal to zero and attempt to solve:

Simplifying
1 + r = 0

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

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

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

Simplifying
r = -1
Solution
r = {1.333333333, -1}