(6w+3u+1)(2w-7)=

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Solution for (6w+3u+1)(2w-7)= equation: 


Simplifying
(6w + 3u + 1)(2w + -7) = 0

Reorder the terms:
(1 + 3u + 6w)(2w + -7) = 0

Reorder the terms:
(1 + 3u + 6w)(-7 + 2w) = 0

Multiply (1 + 3u + 6w) * (-7 + 2w)
(1(-7 + 2w) + 3u * (-7 + 2w) + 6w * (-7 + 2w)) = 0
((-7 * 1 + 2w * 1) + 3u * (-7 + 2w) + 6w * (-7 + 2w)) = 0
((-7 + 2w) + 3u * (-7 + 2w) + 6w * (-7 + 2w)) = 0
(-7 + 2w + (-7 * 3u + 2w * 3u) + 6w * (-7 + 2w)) = 0
(-7 + 2w + (-21u + 6uw) + 6w * (-7 + 2w)) = 0
(-7 + 2w + -21u + 6uw + (-7 * 6w + 2w * 6w)) = 0
(-7 + 2w + -21u + 6uw + (-42w + 12w2)) = 0

Reorder the terms:
(-7 + -21u + 6uw + 2w + -42w + 12w2) = 0

Combine like terms: 2w + -42w = -40w
(-7 + -21u + 6uw + -40w + 12w2) = 0

Solving
-7 + -21u + 6uw + -40w + 12w2 = 0

Solving for variable 'u'.

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

Add '7' to each side of the equation.
-7 + -21u + 6uw + -40w + 7 + 12w2 = 0 + 7

Reorder the terms:
-7 + 7 + -21u + 6uw + -40w + 12w2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -21u + 6uw + -40w + 12w2 = 0 + 7
-21u + 6uw + -40w + 12w2 = 0 + 7

Combine like terms: 0 + 7 = 7
-21u + 6uw + -40w + 12w2 = 7

Add '40w' to each side of the equation.
-21u + 6uw + -40w + 40w + 12w2 = 7 + 40w

Combine like terms: -40w + 40w = 0
-21u + 6uw + 0 + 12w2 = 7 + 40w
-21u + 6uw + 12w2 = 7 + 40w

Add '-12w2' to each side of the equation.
-21u + 6uw + 12w2 + -12w2 = 7 + 40w + -12w2

Combine like terms: 12w2 + -12w2 = 0
-21u + 6uw + 0 = 7 + 40w + -12w2
-21u + 6uw = 7 + 40w + -12w2

Reorder the terms:
-7 + -21u + 6uw + -40w + 12w2 = 7 + 40w + -12w2 + -7 + -40w + 12w2

Reorder the terms:
-7 + -21u + 6uw + -40w + 12w2 = 7 + -7 + 40w + -40w + -12w2 + 12w2

Combine like terms: 7 + -7 = 0
-7 + -21u + 6uw + -40w + 12w2 = 0 + 40w + -40w + -12w2 + 12w2
-7 + -21u + 6uw + -40w + 12w2 = 40w + -40w + -12w2 + 12w2

Combine like terms: 40w + -40w = 0
-7 + -21u + 6uw + -40w + 12w2 = 0 + -12w2 + 12w2
-7 + -21u + 6uw + -40w + 12w2 = -12w2 + 12w2

Combine like terms: -12w2 + 12w2 = 0
-7 + -21u + 6uw + -40w + 12w2 = 0

The solution to this equation could not be determined.

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