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

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


Simplifying
(3x + -1(-9y))(-2x + -1(-7y)) = 0

Remove parenthesis around (-9y)
(3x + -1 * -9y)(-2x + -1(-7y)) = 0

Multiply -1 * -9
(3x + 9y)(-2x + -1(-7y)) = 0

Remove parenthesis around (-7y)
(3x + 9y)(-2x + -1 * -7y) = 0

Multiply -1 * -7
(3x + 9y)(-2x + 7y) = 0

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

Reorder the terms:
((21xy + -6x2) + 9y * (-2x + 7y)) = 0
((21xy + -6x2) + 9y * (-2x + 7y)) = 0
(21xy + -6x2 + (-2x * 9y + 7y * 9y)) = 0
(21xy + -6x2 + (-18xy + 63y2)) = 0

Reorder the terms:
(21xy + -18xy + -6x2 + 63y2) = 0

Combine like terms: 21xy + -18xy = 3xy
(3xy + -6x2 + 63y2) = 0

Solving
3xy + -6x2 + 63y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(xy + -2x2 + 21y2) = 0

Factor a trinomial.
3((-1x + -3y)(2x + -7y)) = 0

Ignore the factor 3.

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

Simplifying
-1x + -3y = 0

Solving
-1x + -3y = 0

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

Add '3y' to each side of the equation.
-1x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
-1x + 0 = 0 + 3y
-1x = 0 + 3y
Remove the zero:
-1x = 3y

Divide each side by '-1'.
x = -3y

Simplifying
x = -3y

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

Simplifying
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y
Solution
x = {-3y, 3.5y}

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