y(x)=x*3-4*x

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Solution for y(x)=x*3-4*x equation: 


Simplifying
y(x) = x * 3 + -4x

Multiply y * x
xy = x * 3 + -4x

Reorder the terms for easier multiplication:
xy = 3x + -4x

Combine like terms: 3x + -4x = -1x
xy = -1x

Solving
xy = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
x + xy = -1x + x

Combine like terms: -1x + x = 0
x + xy = 0

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

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Add '-1y' to each side of the equation.
y + -1y = -1 + -1y

Combine like terms: y + -1y = 0
0 = -1 + -1y

Simplifying
0 = -1 + -1y

The solution to this equation could not be determined.

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

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