Kf(-2)=fx(7-3x)

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Solution for Kf(-2)=fx(7-3x) equation: 


Simplifying
Kf(-2) = fx(7 + -3x)

Reorder the terms for easier multiplication:
-2fK = fx(7 + -3x)
-2fK = (7 * fx + -3x * fx)
-2fK = (7fx + -3fx2)

Solving
-2fK = 7fx + -3fx2

Solving for variable 'f'.

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

Add '-7fx' to each side of the equation.
-2fK + -7fx = 7fx + -7fx + -3fx2

Combine like terms: 7fx + -7fx = 0
-2fK + -7fx = 0 + -3fx2
-2fK + -7fx = -3fx2

Add '3fx2' to each side of the equation.
-2fK + -7fx + 3fx2 = -3fx2 + 3fx2

Combine like terms: -3fx2 + 3fx2 = 0
-2fK + -7fx + 3fx2 = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(-2K + -7x + 3x2) = 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 '(-2K + -7x + 3x2)' equal to zero and attempt to solve:

Simplifying
-2K + -7x + 3x2 = 0

Solving
-2K + -7x + 3x2 = 0

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

Add '2K' to each side of the equation.
-2K + -7x + 2K + 3x2 = 0 + 2K

Reorder the terms:
-2K + 2K + -7x + 3x2 = 0 + 2K

Combine like terms: -2K + 2K = 0
0 + -7x + 3x2 = 0 + 2K
-7x + 3x2 = 0 + 2K
Remove the zero:
-7x + 3x2 = 2K

Add '7x' to each side of the equation.
-7x + 7x + 3x2 = 2K + 7x

Combine like terms: -7x + 7x = 0
0 + 3x2 = 2K + 7x
3x2 = 2K + 7x

Add '-3x2' to each side of the equation.
3x2 + -3x2 = 2K + 7x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 2K + 7x + -3x2

Simplifying
0 = 2K + 7x + -3x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
f = {0}

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