(9z-4y)(9z+4y)=

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Solution for (9z-4y)(9z+4y)= equation: 


Simplifying
(9z + -4y)(9z + 4y) = 0

Reorder the terms:
(-4y + 9z)(9z + 4y) = 0

Reorder the terms:
(-4y + 9z)(4y + 9z) = 0

Multiply (-4y + 9z) * (4y + 9z)
(-4y * (4y + 9z) + 9z * (4y + 9z)) = 0
((4y * -4y + 9z * -4y) + 9z * (4y + 9z)) = 0

Reorder the terms:
((-36yz + -16y2) + 9z * (4y + 9z)) = 0
((-36yz + -16y2) + 9z * (4y + 9z)) = 0
(-36yz + -16y2 + (4y * 9z + 9z * 9z)) = 0
(-36yz + -16y2 + (36yz + 81z2)) = 0

Reorder the terms:
(-36yz + 36yz + -16y2 + 81z2) = 0

Combine like terms: -36yz + 36yz = 0
(0 + -16y2 + 81z2) = 0
(-16y2 + 81z2) = 0

Solving
-16y2 + 81z2 = 0

Solving for variable 'y'.

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

Add '-81z2' to each side of the equation.
-16y2 + 81z2 + -81z2 = 0 + -81z2

Combine like terms: 81z2 + -81z2 = 0
-16y2 + 0 = 0 + -81z2
-16y2 = 0 + -81z2
Remove the zero:
-16y2 = -81z2

Divide each side by '-16'.
y2 = 5.0625z2

Simplifying
y2 = 5.0625z2

Take the square root of each side:
y = {-2.25z, 2.25z}

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