4c^2+9c-63=0

Solution for 4c^2+9c-63=0 equation:

Simplifying
4c2 + 9c + -63 = 0

Reorder the terms:
-63 + 9c + 4c2 = 0

Solving
-63 + 9c + 4c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-21 + -4c)(3 + -1c) = 0

Subproblem 1
Set the factor '(-21 + -4c)' equal to zero and attempt to solve:

Simplifying
-21 + -4c = 0

Solving
-21 + -4c = 0

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

Add '21' to each side of the equation.
-21 + 21 + -4c = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -4c = 0 + 21
-4c = 0 + 21

Combine like terms: 0 + 21 = 21
-4c = 21

Divide each side by '-4'.
c = -5.25

Simplifying
c = -5.25
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {-5.25, 3}