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

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


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

Reorder the terms:
(-9d + 4w)(4w + 9d) = 0

Reorder the terms:
(-9d + 4w)(9d + 4w) = 0

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

Reorder the terms:
((-36dw + -81d2) + 4w * (9d + 4w)) = 0
((-36dw + -81d2) + 4w * (9d + 4w)) = 0
(-36dw + -81d2 + (9d * 4w + 4w * 4w)) = 0
(-36dw + -81d2 + (36dw + 16w2)) = 0

Reorder the terms:
(-36dw + 36dw + -81d2 + 16w2) = 0

Combine like terms: -36dw + 36dw = 0
(0 + -81d2 + 16w2) = 0
(-81d2 + 16w2) = 0

Solving
-81d2 + 16w2 = 0

Solving for variable 'd'.

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

Add '-16w2' to each side of the equation.
-81d2 + 16w2 + -16w2 = 0 + -16w2

Combine like terms: 16w2 + -16w2 = 0
-81d2 + 0 = 0 + -16w2
-81d2 = 0 + -16w2
Remove the zero:
-81d2 = -16w2

Divide each side by '-81'.
d2 = 0.1975308642w2

Simplifying
d2 = 0.1975308642w2

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

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