14f^2=-37f

Solution for 14f^2=-37f equation:

Simplifying
14f2 = -37f

Solving
14f2 = -37f

Solving for variable 'f'.

Reorder the terms:
37f + 14f2 = -37f + 37f

Combine like terms: -37f + 37f = 0
37f + 14f2 = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(37 + 14f) = 0

Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0
Subproblem 2
Set the factor '(37 + 14f)' equal to zero and attempt to solve:

Simplifying
37 + 14f = 0

Solving
37 + 14f = 0

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

Add '-37' to each side of the equation.
37 + -37 + 14f = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 14f = 0 + -37
14f = 0 + -37

Combine like terms: 0 + -37 = -37
14f = -37

Divide each side by '14'.
f = -2.642857143

Simplifying
f = -2.642857143
Solution
f = {0, -2.642857143}