(7x+9y-2x)(8x-3x-3y)=

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Solution for (7x+9y-2x)(8x-3x-3y)= equation: 


Simplifying
(7x + 9y + -2x)(8x + -3x + -3y) = 0

Reorder the terms:
(7x + -2x + 9y)(8x + -3x + -3y) = 0

Combine like terms: 7x + -2x = 5x
(5x + 9y)(8x + -3x + -3y) = 0

Combine like terms: 8x + -3x = 5x
(5x + 9y)(5x + -3y) = 0

Multiply (5x + 9y) * (5x + -3y)
(5x * (5x + -3y) + 9y * (5x + -3y)) = 0
((5x * 5x + -3y * 5x) + 9y * (5x + -3y)) = 0

Reorder the terms:
((-15xy + 25x2) + 9y * (5x + -3y)) = 0
((-15xy + 25x2) + 9y * (5x + -3y)) = 0
(-15xy + 25x2 + (5x * 9y + -3y * 9y)) = 0
(-15xy + 25x2 + (45xy + -27y2)) = 0

Reorder the terms:
(-15xy + 45xy + 25x2 + -27y2) = 0

Combine like terms: -15xy + 45xy = 30xy
(30xy + 25x2 + -27y2) = 0

Solving
30xy + 25x2 + -27y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -3y)(5x + 9y) = 0


Subproblem 1
Set the factor '(5x + -3y)' equal to zero and attempt to solve:

Simplifying
5x + -3y = 0

Solving
5x + -3y = 0

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

Add '3y' to each side of the equation.
5x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 0 + 3y
5x = 0 + 3y
Remove the zero:
5x = 3y

Divide each side by '5'.
x = 0.6y

Simplifying
x = 0.6y

Subproblem 2
Set the factor '(5x + 9y)' equal to zero and attempt to solve:

Simplifying
5x + 9y = 0

Solving
5x + 9y = 0

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

Add '-9y' to each side of the equation.
5x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
5x + 0 = 0 + -9y
5x = 0 + -9y
Remove the zero:
5x = -9y

Divide each side by '5'.
x = -1.8y

Simplifying
x = -1.8y
Solution
x = {0.6y, -1.8y}

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