(3x+4w)(3x-4w)=

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Solution for (3x+4w)(3x-4w)= equation: 


Simplifying
(3x + 4w)(3x + -4w) = 0

Reorder the terms:
(4w + 3x)(3x + -4w) = 0

Reorder the terms:
(4w + 3x)(-4w + 3x) = 0

Multiply (4w + 3x) * (-4w + 3x)
(4w * (-4w + 3x) + 3x * (-4w + 3x)) = 0
((-4w * 4w + 3x * 4w) + 3x * (-4w + 3x)) = 0

Reorder the terms:
((12wx + -16w2) + 3x * (-4w + 3x)) = 0
((12wx + -16w2) + 3x * (-4w + 3x)) = 0
(12wx + -16w2 + (-4w * 3x + 3x * 3x)) = 0
(12wx + -16w2 + (-12wx + 9x2)) = 0

Reorder the terms:
(12wx + -12wx + -16w2 + 9x2) = 0

Combine like terms: 12wx + -12wx = 0
(0 + -16w2 + 9x2) = 0
(-16w2 + 9x2) = 0

Solving
-16w2 + 9x2 = 0

Solving for variable 'w'.

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

Add '-9x2' to each side of the equation.
-16w2 + 9x2 + -9x2 = 0 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-16w2 + 0 = 0 + -9x2
-16w2 = 0 + -9x2
Remove the zero:
-16w2 = -9x2

Divide each side by '-16'.
w2 = 0.5625x2

Simplifying
w2 = 0.5625x2

Take the square root of each side:
w = {-0.75x, 0.75x}

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