20r^2-17r-63=

Solution for 20r^2-17r-63= equation:

Simplifying
20r2 + -17r + -63 = 0

Reorder the terms:
-63 + -17r + 20r2 = 0

Solving
-63 + -17r + 20r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-7 + -5r)(9 + -4r) = 0

Subproblem 1
Set the factor '(-7 + -5r)' equal to zero and attempt to solve:

Simplifying
-7 + -5r = 0

Solving
-7 + -5r = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5r = 0 + 7
-5r = 0 + 7

Combine like terms: 0 + 7 = 7
-5r = 7

Divide each side by '-5'.
r = -1.4

Simplifying
r = -1.4
Subproblem 2
Set the factor '(9 + -4r)' equal to zero and attempt to solve:

Simplifying
9 + -4r = 0

Solving
9 + -4r = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4r = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4r = 0 + -9
-4r = 0 + -9

Combine like terms: 0 + -9 = -9
-4r = -9

Divide each side by '-4'.
r = 2.25

Simplifying
r = 2.25
Solution
r = {-1.4, 2.25}