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

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


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

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

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

Reorder the terms:
(25xy + -9xy + 15x2 + -15y2) = 0

Combine like terms: 25xy + -9xy = 16xy
(16xy + 15x2 + -15y2) = 0

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

Solving for variable 'x'.

Factor a trinomial.
(5x + -3y)(3x + 5y) = 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 '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

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

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

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {0.6y, -1.666666667y}

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