4f^2+32f+63=0

Solution for 4f^2+32f+63=0 equation:

Simplifying
4f2 + 32f + 63 = 0

Reorder the terms:
63 + 32f + 4f2 = 0

Solving
63 + 32f + 4f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(9 + 2f)(7 + 2f) = 0

Subproblem 1
Set the factor '(9 + 2f)' equal to zero and attempt to solve:

Simplifying
9 + 2f = 0

Solving
9 + 2f = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2f = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2f = 0 + -9
2f = 0 + -9

Combine like terms: 0 + -9 = -9
2f = -9

Divide each side by '2'.
f = -4.5

Simplifying
f = -4.5
Subproblem 2
Set the factor '(7 + 2f)' equal to zero and attempt to solve:

Simplifying
7 + 2f = 0

Solving
7 + 2f = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2f = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2f = 0 + -7
2f = 0 + -7

Combine like terms: 0 + -7 = -7
2f = -7

Divide each side by '2'.
f = -3.5

Simplifying
f = -3.5
Solution
f = {-4.5, -3.5}