(9w-4z)(9w+4z)=0

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Solution for (9w-4z)(9w+4z)=0 equation: 


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

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

Reorder the terms:
((36wz + 81w2) + -4z * (9w + 4z)) = 0
((36wz + 81w2) + -4z * (9w + 4z)) = 0
(36wz + 81w2 + (9w * -4z + 4z * -4z)) = 0
(36wz + 81w2 + (-36wz + -16z2)) = 0

Reorder the terms:
(36wz + -36wz + 81w2 + -16z2) = 0

Combine like terms: 36wz + -36wz = 0
(0 + 81w2 + -16z2) = 0
(81w2 + -16z2) = 0

Solving
81w2 + -16z2 = 0

Solving for variable 'w'.

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

Add '16z2' to each side of the equation.
81w2 + -16z2 + 16z2 = 0 + 16z2

Combine like terms: -16z2 + 16z2 = 0
81w2 + 0 = 0 + 16z2
81w2 = 0 + 16z2
Remove the zero:
81w2 = 16z2

Divide each side by '81'.
w2 = 0.1975308642z2

Simplifying
w2 = 0.1975308642z2

Take the square root of each side:
w = {-0.444444444z, 0.444444444z}

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