(5x-4y)(4x-3y)=

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Solution for (5x-4y)(4x-3y)= equation: 


Simplifying
(5x + -4y)(4x + -3y) = 0

Multiply (5x + -4y) * (4x + -3y)
(5x * (4x + -3y) + -4y * (4x + -3y)) = 0
((4x * 5x + -3y * 5x) + -4y * (4x + -3y)) = 0

Reorder the terms:
((-15xy + 20x2) + -4y * (4x + -3y)) = 0
((-15xy + 20x2) + -4y * (4x + -3y)) = 0
(-15xy + 20x2 + (4x * -4y + -3y * -4y)) = 0
(-15xy + 20x2 + (-16xy + 12y2)) = 0

Reorder the terms:
(-15xy + -16xy + 20x2 + 12y2) = 0

Combine like terms: -15xy + -16xy = -31xy
(-31xy + 20x2 + 12y2) = 0

Solving
-31xy + 20x2 + 12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -4y)(4x + -3y) = 0


Subproblem 1
Set the factor '(5x + -4y)' equal to zero and attempt to solve:

Simplifying
5x + -4y = 0

Solving
5x + -4y = 0

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

Add '4y' to each side of the equation.
5x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 = 0 + 4y
5x = 0 + 4y
Remove the zero:
5x = 4y

Divide each side by '5'.
x = 0.8y

Simplifying
x = 0.8y

Subproblem 2
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y
Solution
x = {0.8y, 0.75y}

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