(7w-2)(7w-4u-4)=0

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Solution for (7w-2)(7w-4u-4)=0 equation: 


Simplifying
(7w + -2)(7w + -4u + -4) = 0

Reorder the terms:
(-2 + 7w)(7w + -4u + -4) = 0

Reorder the terms:
(-2 + 7w)(-4 + -4u + 7w) = 0

Multiply (-2 + 7w) * (-4 + -4u + 7w)
(-2(-4 + -4u + 7w) + 7w * (-4 + -4u + 7w)) = 0
((-4 * -2 + -4u * -2 + 7w * -2) + 7w * (-4 + -4u + 7w)) = 0
((8 + 8u + -14w) + 7w * (-4 + -4u + 7w)) = 0
(8 + 8u + -14w + (-4 * 7w + -4u * 7w + 7w * 7w)) = 0

Reorder the terms:
(8 + 8u + -14w + (-28uw + -28w + 49w2)) = 0
(8 + 8u + -14w + (-28uw + -28w + 49w2)) = 0

Reorder the terms:
(8 + 8u + -28uw + -14w + -28w + 49w2) = 0

Combine like terms: -14w + -28w = -42w
(8 + 8u + -28uw + -42w + 49w2) = 0

Solving
8 + 8u + -28uw + -42w + 49w2 = 0

Solving for variable 'u'.

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

Add '-8' to each side of the equation.
8 + 8u + -28uw + -42w + -8 + 49w2 = 0 + -8

Reorder the terms:
8 + -8 + 8u + -28uw + -42w + 49w2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 8u + -28uw + -42w + 49w2 = 0 + -8
8u + -28uw + -42w + 49w2 = 0 + -8

Combine like terms: 0 + -8 = -8
8u + -28uw + -42w + 49w2 = -8

Add '42w' to each side of the equation.
8u + -28uw + -42w + 42w + 49w2 = -8 + 42w

Combine like terms: -42w + 42w = 0
8u + -28uw + 0 + 49w2 = -8 + 42w
8u + -28uw + 49w2 = -8 + 42w

Add '-49w2' to each side of the equation.
8u + -28uw + 49w2 + -49w2 = -8 + 42w + -49w2

Combine like terms: 49w2 + -49w2 = 0
8u + -28uw + 0 = -8 + 42w + -49w2
8u + -28uw = -8 + 42w + -49w2

Reorder the terms:
8 + 8u + -28uw + -42w + 49w2 = -8 + 42w + -49w2 + 8 + -42w + 49w2

Reorder the terms:
8 + 8u + -28uw + -42w + 49w2 = -8 + 8 + 42w + -42w + -49w2 + 49w2

Combine like terms: -8 + 8 = 0
8 + 8u + -28uw + -42w + 49w2 = 0 + 42w + -42w + -49w2 + 49w2
8 + 8u + -28uw + -42w + 49w2 = 42w + -42w + -49w2 + 49w2

Combine like terms: 42w + -42w = 0
8 + 8u + -28uw + -42w + 49w2 = 0 + -49w2 + 49w2
8 + 8u + -28uw + -42w + 49w2 = -49w2 + 49w2

Combine like terms: -49w2 + 49w2 = 0
8 + 8u + -28uw + -42w + 49w2 = 0

The solution to this equation could not be determined.

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