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Simplifying
(a + -0.5y)(a + 0.5y) = 0
Multiply (a + -0.5y) * (a + 0.5y)
(a(a + 0.5y) + -0.5y * (a + 0.5y)) = 0
((a * a + 0.5y * a) + -0.5y * (a + 0.5y)) = 0
Reorder the terms:
((0.5ay + a2) + -0.5y * (a + 0.5y)) = 0
((0.5ay + a2) + -0.5y * (a + 0.5y)) = 0
(0.5ay + a2 + (a * -0.5y + 0.5y * -0.5y)) = 0
(0.5ay + a2 + (-0.5ay + -0.25y2)) = 0
Reorder the terms:
(0.5ay + -0.5ay + a2 + -0.25y2) = 0
Combine like terms: 0.5ay + -0.5ay = 0.0
(0.0 + a2 + -0.25y2) = 0
(a2 + -0.25y2) = 0
Solving
a2 + -0.25y2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '0.25y2' to each side of the equation.
a2 + -0.25y2 + 0.25y2 = 0 + 0.25y2
Combine like terms: -0.25y2 + 0.25y2 = 0.00
a2 + 0.00 = 0 + 0.25y2
a2 = 0 + 0.25y2
Remove the zero:
a2 = 0.25y2
Simplifying
a2 = 0.25y2
Take the square root of each side:
a = {-0.5y, 0.5y}
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