F(x)=x^2+3xf(5)

Solution for F(x)=x^2+3xf(5) equation:

Simplifying
F(x) = x2 + 3xf(5)

Multiply F * x
xF = x2 + 3xf(5)

Reorder the terms for easier multiplication:
xF = x2 + 3 * 5fx

Multiply 3 * 5
xF = x2 + 15fx

Reorder the terms:
xF = 15fx + x2

Solving
xF = 15fx + x2

Solving for variable 'x'.

Reorder the terms:
-15fx + xF + -1x2 = 15fx + x2 + -15fx + -1x2

Reorder the terms:
-15fx + xF + -1x2 = 15fx + -15fx + x2 + -1x2

Combine like terms: 15fx + -15fx = 0
-15fx + xF + -1x2 = 0 + x2 + -1x2
-15fx + xF + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15fx + xF + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15f + F + -1x) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-15f + F + -1x)' equal to zero and attempt to solve:

Simplifying
-15f + F + -1x = 0

Reorder the terms:
F + -15f + -1x = 0

Solving
F + -15f + -1x = 0

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

Add '-1F' to each side of the equation.
F + -15f + -1F + -1x = 0 + -1F

Reorder the terms:
F + -1F + -15f + -1x = 0 + -1F

Combine like terms: F + -1F = 0
0 + -15f + -1x = 0 + -1F
-15f + -1x = 0 + -1F
Remove the zero:
-15f + -1x = -1F

Add '15f' to each side of the equation.
-15f + 15f + -1x = -1F + 15f

Combine like terms: -15f + 15f = 0
0 + -1x = -1F + 15f
-1x = -1F + 15f

Divide each side by '-1'.
x = F + -15f

Simplifying
x = F + -15f
Solution
x = {0, F + -15f}