(4x-y)(x-y)=

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


Simplifying
(4x + -1y)(x + -1y) = 0

Multiply (4x + -1y) * (x + -1y)
(4x * (x + -1y) + -1y * (x + -1y)) = 0
((x * 4x + -1y * 4x) + -1y * (x + -1y)) = 0

Reorder the terms:
((-4xy + 4x2) + -1y * (x + -1y)) = 0
((-4xy + 4x2) + -1y * (x + -1y)) = 0
(-4xy + 4x2 + (x * -1y + -1y * -1y)) = 0
(-4xy + 4x2 + (-1xy + 1y2)) = 0

Reorder the terms:
(-4xy + -1xy + 4x2 + 1y2) = 0

Combine like terms: -4xy + -1xy = -5xy
(-5xy + 4x2 + 1y2) = 0

Solving
-5xy + 4x2 + 1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(4x + -1y) = 0


Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve:

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y

Simplifying
x = y

Subproblem 2
Set the factor '(4x + -1y)' equal to zero and attempt to solve:

Simplifying
4x + -1y = 0

Solving
4x + -1y = 0

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

Add 'y' to each side of the equation.
4x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
4x + 0 = 0 + y
4x = 0 + y
Remove the zero:
4x = y

Divide each side by '4'.
x = 0.25y

Simplifying
x = 0.25y
Solution
x = {y, 0.25y}

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