x^2+3y=3y+4x

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Solution for x^2+3y=3y+4x equation: 


Simplifying
x2 + 3y = 3y + 4x

Reorder the terms:
x2 + 3y = 4x + 3y

Add '-3y' to each side of the equation.
x2 + 3y + -3y = 4x + 3y + -3y

Combine like terms: 3y + -3y = 0
x2 + 0 = 4x + 3y + -3y
x2 = 4x + 3y + -3y

Combine like terms: 3y + -3y = 0
x2 = 4x + 0
x2 = 4x

Solving
x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x) = 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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