(3z+6y)*(8y-4z)=

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Solution for (3z+6y)*(8y-4z)= equation: 


Simplifying
(3z + 6y)(8y + -4z) = 0

Reorder the terms:
(6y + 3z)(8y + -4z) = 0

Multiply (6y + 3z) * (8y + -4z)
(6y * (8y + -4z) + 3z * (8y + -4z)) = 0
((8y * 6y + -4z * 6y) + 3z * (8y + -4z)) = 0

Reorder the terms:
((-24yz + 48y2) + 3z * (8y + -4z)) = 0
((-24yz + 48y2) + 3z * (8y + -4z)) = 0
(-24yz + 48y2 + (8y * 3z + -4z * 3z)) = 0
(-24yz + 48y2 + (24yz + -12z2)) = 0

Reorder the terms:
(-24yz + 24yz + 48y2 + -12z2) = 0

Combine like terms: -24yz + 24yz = 0
(0 + 48y2 + -12z2) = 0
(48y2 + -12z2) = 0

Solving
48y2 + -12z2 = 0

Solving for variable 'y'.

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

Add '12z2' to each side of the equation.
48y2 + -12z2 + 12z2 = 0 + 12z2

Combine like terms: -12z2 + 12z2 = 0
48y2 + 0 = 0 + 12z2
48y2 = 0 + 12z2
Remove the zero:
48y2 = 12z2

Divide each side by '48'.
y2 = 0.25z2

Simplifying
y2 = 0.25z2

Take the square root of each side:
y = {-0.5z, 0.5z}

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