(3w+4u-6)(3w-5)=

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Solution for (3w+4u-6)(3w-5)= equation: 


Simplifying
(3w + 4u + -6)(3w + -5) = 0

Reorder the terms:
(-6 + 4u + 3w)(3w + -5) = 0

Reorder the terms:
(-6 + 4u + 3w)(-5 + 3w) = 0

Multiply (-6 + 4u + 3w) * (-5 + 3w)
(-6(-5 + 3w) + 4u * (-5 + 3w) + 3w * (-5 + 3w)) = 0
((-5 * -6 + 3w * -6) + 4u * (-5 + 3w) + 3w * (-5 + 3w)) = 0
((30 + -18w) + 4u * (-5 + 3w) + 3w * (-5 + 3w)) = 0
(30 + -18w + (-5 * 4u + 3w * 4u) + 3w * (-5 + 3w)) = 0
(30 + -18w + (-20u + 12uw) + 3w * (-5 + 3w)) = 0
(30 + -18w + -20u + 12uw + (-5 * 3w + 3w * 3w)) = 0
(30 + -18w + -20u + 12uw + (-15w + 9w2)) = 0

Reorder the terms:
(30 + -20u + 12uw + -18w + -15w + 9w2) = 0

Combine like terms: -18w + -15w = -33w
(30 + -20u + 12uw + -33w + 9w2) = 0

Solving
30 + -20u + 12uw + -33w + 9w2 = 0

Solving for variable 'u'.

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

Add '-30' to each side of the equation.
30 + -20u + 12uw + -33w + -30 + 9w2 = 0 + -30

Reorder the terms:
30 + -30 + -20u + 12uw + -33w + 9w2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -20u + 12uw + -33w + 9w2 = 0 + -30
-20u + 12uw + -33w + 9w2 = 0 + -30

Combine like terms: 0 + -30 = -30
-20u + 12uw + -33w + 9w2 = -30

Add '33w' to each side of the equation.
-20u + 12uw + -33w + 33w + 9w2 = -30 + 33w

Combine like terms: -33w + 33w = 0
-20u + 12uw + 0 + 9w2 = -30 + 33w
-20u + 12uw + 9w2 = -30 + 33w

Add '-9w2' to each side of the equation.
-20u + 12uw + 9w2 + -9w2 = -30 + 33w + -9w2

Combine like terms: 9w2 + -9w2 = 0
-20u + 12uw + 0 = -30 + 33w + -9w2
-20u + 12uw = -30 + 33w + -9w2

Reorder the terms:
30 + -20u + 12uw + -33w + 9w2 = -30 + 33w + -9w2 + 30 + -33w + 9w2

Reorder the terms:
30 + -20u + 12uw + -33w + 9w2 = -30 + 30 + 33w + -33w + -9w2 + 9w2

Combine like terms: -30 + 30 = 0
30 + -20u + 12uw + -33w + 9w2 = 0 + 33w + -33w + -9w2 + 9w2
30 + -20u + 12uw + -33w + 9w2 = 33w + -33w + -9w2 + 9w2

Combine like terms: 33w + -33w = 0
30 + -20u + 12uw + -33w + 9w2 = 0 + -9w2 + 9w2
30 + -20u + 12uw + -33w + 9w2 = -9w2 + 9w2

Combine like terms: -9w2 + 9w2 = 0
30 + -20u + 12uw + -33w + 9w2 = 0

The solution to this equation could not be determined.

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