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Simplifying
(3y + 2a)(3y + -2a) = 0
Reorder the terms:
(2a + 3y)(3y + -2a) = 0
Reorder the terms:
(2a + 3y)(-2a + 3y) = 0
Multiply (2a + 3y) * (-2a + 3y)
(2a * (-2a + 3y) + 3y * (-2a + 3y)) = 0
((-2a * 2a + 3y * 2a) + 3y * (-2a + 3y)) = 0
Reorder the terms:
((6ay + -4a2) + 3y * (-2a + 3y)) = 0
((6ay + -4a2) + 3y * (-2a + 3y)) = 0
(6ay + -4a2 + (-2a * 3y + 3y * 3y)) = 0
(6ay + -4a2 + (-6ay + 9y2)) = 0
Reorder the terms:
(6ay + -6ay + -4a2 + 9y2) = 0
Combine like terms: 6ay + -6ay = 0
(0 + -4a2 + 9y2) = 0
(-4a2 + 9y2) = 0
Solving
-4a2 + 9y2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9y2' to each side of the equation.
-4a2 + 9y2 + -9y2 = 0 + -9y2
Combine like terms: 9y2 + -9y2 = 0
-4a2 + 0 = 0 + -9y2
-4a2 = 0 + -9y2
Remove the zero:
-4a2 = -9y2
Divide each side by '-4'.
a2 = 2.25y2
Simplifying
a2 = 2.25y2
Take the square root of each side:
a = {-1.5y, 1.5y}
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