3x^2-27x=f(x)

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Solution for 3x^2-27x=f(x) equation: 


Simplifying
3x2 + -27x = f(x)

Reorder the terms:
-27x + 3x2 = f(x)

Multiply f * x
-27x + 3x2 = fx

Solving
-27x + 3x2 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + -27x + 3x2 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + -27x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + -27 + 3x) = 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 '(-1f + -27 + 3x)' equal to zero and attempt to solve:

Simplifying
-1f + -27 + 3x = 0

Reorder the terms:
-27 + -1f + 3x = 0

Solving
-27 + -1f + 3x = 0

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

Add '27' to each side of the equation.
-27 + -1f + 27 + 3x = 0 + 27

Reorder the terms:
-27 + 27 + -1f + 3x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1f + 3x = 0 + 27
-1f + 3x = 0 + 27

Combine like terms: 0 + 27 = 27
-1f + 3x = 27

Add 'f' to each side of the equation.
-1f + f + 3x = 27 + f

Combine like terms: -1f + f = 0
0 + 3x = 27 + f
3x = 27 + f

Divide each side by '3'.
x = 9 + 0.3333333333f

Simplifying
x = 9 + 0.3333333333f
Solution
x = {0, 9 + 0.3333333333f}

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