(7x-3y)(2x-9y)=

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Solution for (7x-3y)(2x-9y)= equation: 


Simplifying
(7x + -3y)(2x + -9y) = 0

Multiply (7x + -3y) * (2x + -9y)
(7x * (2x + -9y) + -3y * (2x + -9y)) = 0
((2x * 7x + -9y * 7x) + -3y * (2x + -9y)) = 0

Reorder the terms:
((-63xy + 14x2) + -3y * (2x + -9y)) = 0
((-63xy + 14x2) + -3y * (2x + -9y)) = 0
(-63xy + 14x2 + (2x * -3y + -9y * -3y)) = 0
(-63xy + 14x2 + (-6xy + 27y2)) = 0

Reorder the terms:
(-63xy + -6xy + 14x2 + 27y2) = 0

Combine like terms: -63xy + -6xy = -69xy
(-69xy + 14x2 + 27y2) = 0

Solving
-69xy + 14x2 + 27y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -9y)(7x + -3y) = 0


Subproblem 1
Set the factor '(2x + -9y)' equal to zero and attempt to solve:

Simplifying
2x + -9y = 0

Solving
2x + -9y = 0

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

Add '9y' to each side of the equation.
2x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
2x + 0 = 0 + 9y
2x = 0 + 9y
Remove the zero:
2x = 9y

Divide each side by '2'.
x = 4.5y

Simplifying
x = 4.5y

Subproblem 2
Set the factor '(7x + -3y)' equal to zero and attempt to solve:

Simplifying
7x + -3y = 0

Solving
7x + -3y = 0

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

Add '3y' to each side of the equation.
7x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
7x + 0 = 0 + 3y
7x = 0 + 3y
Remove the zero:
7x = 3y

Divide each side by '7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y
Solution
x = {4.5y, 0.4285714286y}

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