-8r^2+11r-6+-7r^2-9r+14=

Solution for -8r^2+11r-6+-7r^2-9r+14= equation:

Simplifying
-8r2 + 11r + -6 + -7r2 + -9r + 14 = 0

Reorder the terms:
-6 + 14 + 11r + -9r + -8r2 + -7r2 = 0

Combine like terms: -6 + 14 = 8
8 + 11r + -9r + -8r2 + -7r2 = 0

Combine like terms: 11r + -9r = 2r
8 + 2r + -8r2 + -7r2 = 0

Combine like terms: -8r2 + -7r2 = -15r2
8 + 2r + -15r2 = 0

Solving
8 + 2r + -15r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(4 + -5r)(2 + 3r) = 0

Subproblem 1
Set the factor '(4 + -5r)' equal to zero and attempt to solve:

Simplifying
4 + -5r = 0

Solving
4 + -5r = 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 + -5r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5r = 0 + -4
-5r = 0 + -4

Combine like terms: 0 + -4 = -4
-5r = -4

Divide each side by '-5'.
r = 0.8

Simplifying
r = 0.8
Subproblem 2
Set the factor '(2 + 3r)' equal to zero and attempt to solve:

Simplifying
2 + 3r = 0

Solving
2 + 3r = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3r = 0 + -2
3r = 0 + -2

Combine like terms: 0 + -2 = -2
3r = -2

Divide each side by '3'.
r = -0.6666666667

Simplifying
r = -0.6666666667
Solution
r = {0.8, -0.6666666667}