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

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


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

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

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

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

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

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

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

Solving
-9w2 + 16x2 = 0

Solving for variable 'w'.

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

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

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

Divide each side by '-9'.
w2 = 1.777777778x2

Simplifying
w2 = 1.777777778x2

Take the square root of each side:
w = {-1.333333333x, 1.333333333x}

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