20c^2+17c-63=0

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Solution for 20c^2+17c-63=0 equation: 


Simplifying
20c2 + 17c + -63 = 0

Reorder the terms:
-63 + 17c + 20c2 = 0

Solving
-63 + 17c + 20c2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(-9 + -4c)' equal to zero and attempt to solve:

Simplifying
-9 + -4c = 0

Solving
-9 + -4c = 0

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

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

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

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

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

Simplifying
c = -2.25

Subproblem 2
Set the factor '(7 + -5c)' equal to zero and attempt to solve:

Simplifying
7 + -5c = 0

Solving
7 + -5c = 0

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

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

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

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

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

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

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