(3x-8y)(5x-2y)=

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Solution for (3x-8y)(5x-2y)= equation: 


Simplifying
(3x + -8y)(5x + -2y) = 0

Multiply (3x + -8y) * (5x + -2y)
(3x * (5x + -2y) + -8y * (5x + -2y)) = 0
((5x * 3x + -2y * 3x) + -8y * (5x + -2y)) = 0

Reorder the terms:
((-6xy + 15x2) + -8y * (5x + -2y)) = 0
((-6xy + 15x2) + -8y * (5x + -2y)) = 0
(-6xy + 15x2 + (5x * -8y + -2y * -8y)) = 0
(-6xy + 15x2 + (-40xy + 16y2)) = 0

Reorder the terms:
(-6xy + -40xy + 15x2 + 16y2) = 0

Combine like terms: -6xy + -40xy = -46xy
(-46xy + 15x2 + 16y2) = 0

Solving
-46xy + 15x2 + 16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -8y)(5x + -2y) = 0


Subproblem 1
Set the factor '(3x + -8y)' equal to zero and attempt to solve:

Simplifying
3x + -8y = 0

Solving
3x + -8y = 0

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

Add '8y' to each side of the equation.
3x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
3x + 0 = 0 + 8y
3x = 0 + 8y
Remove the zero:
3x = 8y

Divide each side by '3'.
x = 2.666666667y

Simplifying
x = 2.666666667y

Subproblem 2
Set the factor '(5x + -2y)' equal to zero and attempt to solve:

Simplifying
5x + -2y = 0

Solving
5x + -2y = 0

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

Add '2y' to each side of the equation.
5x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
5x + 0 = 0 + 2y
5x = 0 + 2y
Remove the zero:
5x = 2y

Divide each side by '5'.
x = 0.4y

Simplifying
x = 0.4y
Solution
x = {2.666666667y, 0.4y}

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