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

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Solution for (X+-5y)(x+3y)=0 equation: 


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

Multiply (X + -5y) * (x + 3y)
(X(x + 3y) + -5y * (x + 3y)) = 0
((x * X + 3y * X) + -5y * (x + 3y)) = 0
((xX + 3yX) + -5y * (x + 3y)) = 0
(xX + 3yX + (x * -5y + 3y * -5y)) = 0
(xX + 3yX + (-5xy + -15y2)) = 0

Reorder the terms:
(xX + -5xy + 3yX + -15y2) = 0
(xX + -5xy + 3yX + -15y2) = 0

Solving
xX + -5xy + 3yX + -15y2 = 0

Solving for variable 'x'.

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

Add '-3yX' to each side of the equation.
xX + -5xy + 3yX + -3yX + -15y2 = 0 + -3yX

Combine like terms: 3yX + -3yX = 0
xX + -5xy + 0 + -15y2 = 0 + -3yX
xX + -5xy + -15y2 = 0 + -3yX
Remove the zero:
xX + -5xy + -15y2 = -3yX

Add '15y2' to each side of the equation.
xX + -5xy + -15y2 + 15y2 = -3yX + 15y2

Combine like terms: -15y2 + 15y2 = 0
xX + -5xy + 0 = -3yX + 15y2
xX + -5xy = -3yX + 15y2

Reorder the terms:
xX + -5xy + 3yX + -15y2 = -3yX + 3yX + 15y2 + -15y2

Combine like terms: -3yX + 3yX = 0
xX + -5xy + 3yX + -15y2 = 0 + 15y2 + -15y2
xX + -5xy + 3yX + -15y2 = 15y2 + -15y2

Combine like terms: 15y2 + -15y2 = 0
xX + -5xy + 3yX + -15y2 = 0

The solution to this equation could not be determined.

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