(5x+2y)(2y+3a)=0

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Solution for (5x+2y)(2y+3a)=0 equation:


Simplifying
(5x + 2y)(2y + 3a) = 0

Reorder the terms:
(5x + 2y)(3a + 2y) = 0

Multiply (5x + 2y) * (3a + 2y)
(5x * (3a + 2y) + 2y * (3a + 2y)) = 0
((3a * 5x + 2y * 5x) + 2y * (3a + 2y)) = 0
((15ax + 10xy) + 2y * (3a + 2y)) = 0
(15ax + 10xy + (3a * 2y + 2y * 2y)) = 0
(15ax + 10xy + (6ay + 4y2)) = 0

Reorder the terms:
(15ax + 6ay + 10xy + 4y2) = 0
(15ax + 6ay + 10xy + 4y2) = 0

Solving
15ax + 6ay + 10xy + 4y2 = 0

Solving for variable 'a'.

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

Add '-10xy' to each side of the equation.
15ax + 6ay + 10xy + -10xy + 4y2 = 0 + -10xy

Combine like terms: 10xy + -10xy = 0
15ax + 6ay + 0 + 4y2 = 0 + -10xy
15ax + 6ay + 4y2 = 0 + -10xy
Remove the zero:
15ax + 6ay + 4y2 = -10xy

Add '-4y2' to each side of the equation.
15ax + 6ay + 4y2 + -4y2 = -10xy + -4y2

Combine like terms: 4y2 + -4y2 = 0
15ax + 6ay + 0 = -10xy + -4y2
15ax + 6ay = -10xy + -4y2

Reorder the terms:
15ax + 6ay + 10xy + 4y2 = -10xy + 10xy + -4y2 + 4y2

Combine like terms: -10xy + 10xy = 0
15ax + 6ay + 10xy + 4y2 = 0 + -4y2 + 4y2
15ax + 6ay + 10xy + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
15ax + 6ay + 10xy + 4y2 = 0

The solution to this equation could not be determined.

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