(6w+3u-1)(4w-7)=

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Solution for (6w+3u-1)(4w-7)= equation: 


Simplifying
(6w + 3u + -1)(4w + -7) = 0

Reorder the terms:
(-1 + 3u + 6w)(4w + -7) = 0

Reorder the terms:
(-1 + 3u + 6w)(-7 + 4w) = 0

Multiply (-1 + 3u + 6w) * (-7 + 4w)
(-1(-7 + 4w) + 3u * (-7 + 4w) + 6w * (-7 + 4w)) = 0
((-7 * -1 + 4w * -1) + 3u * (-7 + 4w) + 6w * (-7 + 4w)) = 0
((7 + -4w) + 3u * (-7 + 4w) + 6w * (-7 + 4w)) = 0
(7 + -4w + (-7 * 3u + 4w * 3u) + 6w * (-7 + 4w)) = 0
(7 + -4w + (-21u + 12uw) + 6w * (-7 + 4w)) = 0
(7 + -4w + -21u + 12uw + (-7 * 6w + 4w * 6w)) = 0
(7 + -4w + -21u + 12uw + (-42w + 24w2)) = 0

Reorder the terms:
(7 + -21u + 12uw + -4w + -42w + 24w2) = 0

Combine like terms: -4w + -42w = -46w
(7 + -21u + 12uw + -46w + 24w2) = 0

Solving
7 + -21u + 12uw + -46w + 24w2 = 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 + 12uw + -46w + -7 + 24w2 = 0 + -7

Reorder the terms:
7 + -7 + -21u + 12uw + -46w + 24w2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -21u + 12uw + -46w + 24w2 = 0 + -7
-21u + 12uw + -46w + 24w2 = 0 + -7

Combine like terms: 0 + -7 = -7
-21u + 12uw + -46w + 24w2 = -7

Add '46w' to each side of the equation.
-21u + 12uw + -46w + 46w + 24w2 = -7 + 46w

Combine like terms: -46w + 46w = 0
-21u + 12uw + 0 + 24w2 = -7 + 46w
-21u + 12uw + 24w2 = -7 + 46w

Add '-24w2' to each side of the equation.
-21u + 12uw + 24w2 + -24w2 = -7 + 46w + -24w2

Combine like terms: 24w2 + -24w2 = 0
-21u + 12uw + 0 = -7 + 46w + -24w2
-21u + 12uw = -7 + 46w + -24w2

Reorder the terms:
7 + -21u + 12uw + -46w + 24w2 = -7 + 46w + -24w2 + 7 + -46w + 24w2

Reorder the terms:
7 + -21u + 12uw + -46w + 24w2 = -7 + 7 + 46w + -46w + -24w2 + 24w2

Combine like terms: -7 + 7 = 0
7 + -21u + 12uw + -46w + 24w2 = 0 + 46w + -46w + -24w2 + 24w2
7 + -21u + 12uw + -46w + 24w2 = 46w + -46w + -24w2 + 24w2

Combine like terms: 46w + -46w = 0
7 + -21u + 12uw + -46w + 24w2 = 0 + -24w2 + 24w2
7 + -21u + 12uw + -46w + 24w2 = -24w2 + 24w2

Combine like terms: -24w2 + 24w2 = 0
7 + -21u + 12uw + -46w + 24w2 = 0

The solution to this equation could not be determined.

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