40r^2-15r+16r-6=

Solution for 40r^2-15r+16r-6= equation:

Simplifying
40r2 + -15r + 16r + -6 = 0

Reorder the terms:
-6 + -15r + 16r + 40r2 = 0

Combine like terms: -15r + 16r = 1r
-6 + 1r + 40r2 = 0

Solving
-6 + 1r + 40r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-2 + -5r)(3 + -8r) = 0

Subproblem 1
Set the factor '(-2 + -5r)' equal to zero and attempt to solve:

Simplifying
-2 + -5r = 0

Solving
-2 + -5r = 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 + -5r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5r = 0 + 2
-5r = 0 + 2

Combine like terms: 0 + 2 = 2
-5r = 2

Divide each side by '-5'.
r = -0.4

Simplifying
r = -0.4
Subproblem 2
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
Solution
r = {-0.4, 0.375}