f(x)x(10-x)=40x

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Solution for f(x)x(10-x)=40x equation: 


Simplifying
f(x) * x(10 + -1x) = 40x

Multiply f * x
fx * x(10 + -1x) = 40x

Multiply fx * x
fx2(10 + -1x) = 40x
(10 * fx2 + -1x * fx2) = 40x
(10fx2 + -1fx3) = 40x

Solving
10fx2 + -1fx3 = 40x

Solving for variable 'f'.

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

Combine like terms: 40x + -40x = 0
10fx2 + -1fx3 + -40x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10fx + -1fx2 + -40) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(10fx + -1fx2 + -40)' equal to zero and attempt to solve:

Simplifying
10fx + -1fx2 + -40 = 0

Reorder the terms:
-40 + 10fx + -1fx2 = 0

Solving
-40 + 10fx + -1fx2 = 0

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

Add '40' to each side of the equation.
-40 + 10fx + 40 + -1fx2 = 0 + 40

Reorder the terms:
-40 + 40 + 10fx + -1fx2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 10fx + -1fx2 = 0 + 40
10fx + -1fx2 = 0 + 40

Combine like terms: 0 + 40 = 40
10fx + -1fx2 = 40

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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