(3q-8)(4w-1)(-3w+5)=0

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Solution for (3q-8)(4w-1)(-3w+5)=0 equation: 


Simplifying
(3q + -8)(4w + -1)(-3w + 5) = 0

Reorder the terms:
(-8 + 3q)(4w + -1)(-3w + 5) = 0

Reorder the terms:
(-8 + 3q)(-1 + 4w)(-3w + 5) = 0

Reorder the terms:
(-8 + 3q)(-1 + 4w)(5 + -3w) = 0

Multiply (-8 + 3q) * (-1 + 4w)
(-8(-1 + 4w) + 3q * (-1 + 4w))(5 + -3w) = 0
((-1 * -8 + 4w * -8) + 3q * (-1 + 4w))(5 + -3w) = 0
((8 + -32w) + 3q * (-1 + 4w))(5 + -3w) = 0
(8 + -32w + (-1 * 3q + 4w * 3q))(5 + -3w) = 0
(8 + -32w + (-3q + 12qw))(5 + -3w) = 0

Reorder the terms:
(8 + -3q + 12qw + -32w)(5 + -3w) = 0
(8 + -3q + 12qw + -32w)(5 + -3w) = 0

Multiply (8 + -3q + 12qw + -32w) * (5 + -3w)
(8(5 + -3w) + -3q * (5 + -3w) + 12qw * (5 + -3w) + -32w * (5 + -3w)) = 0
((5 * 8 + -3w * 8) + -3q * (5 + -3w) + 12qw * (5 + -3w) + -32w * (5 + -3w)) = 0
((40 + -24w) + -3q * (5 + -3w) + 12qw * (5 + -3w) + -32w * (5 + -3w)) = 0
(40 + -24w + (5 * -3q + -3w * -3q) + 12qw * (5 + -3w) + -32w * (5 + -3w)) = 0
(40 + -24w + (-15q + 9qw) + 12qw * (5 + -3w) + -32w * (5 + -3w)) = 0
(40 + -24w + -15q + 9qw + (5 * 12qw + -3w * 12qw) + -32w * (5 + -3w)) = 0
(40 + -24w + -15q + 9qw + (60qw + -36qw2) + -32w * (5 + -3w)) = 0
(40 + -24w + -15q + 9qw + 60qw + -36qw2 + (5 * -32w + -3w * -32w)) = 0
(40 + -24w + -15q + 9qw + 60qw + -36qw2 + (-160w + 96w2)) = 0

Reorder the terms:
(40 + -15q + 9qw + 60qw + -36qw2 + -24w + -160w + 96w2) = 0

Combine like terms: 9qw + 60qw = 69qw
(40 + -15q + 69qw + -36qw2 + -24w + -160w + 96w2) = 0

Combine like terms: -24w + -160w = -184w
(40 + -15q + 69qw + -36qw2 + -184w + 96w2) = 0

Solving
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = 0

Solving for variable 'q'.

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

Add '-40' to each side of the equation.
40 + -15q + 69qw + -36qw2 + -184w + -40 + 96w2 = 0 + -40

Reorder the terms:
40 + -40 + -15q + 69qw + -36qw2 + -184w + 96w2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -15q + 69qw + -36qw2 + -184w + 96w2 = 0 + -40
-15q + 69qw + -36qw2 + -184w + 96w2 = 0 + -40

Combine like terms: 0 + -40 = -40
-15q + 69qw + -36qw2 + -184w + 96w2 = -40

Add '184w' to each side of the equation.
-15q + 69qw + -36qw2 + -184w + 184w + 96w2 = -40 + 184w

Combine like terms: -184w + 184w = 0
-15q + 69qw + -36qw2 + 0 + 96w2 = -40 + 184w
-15q + 69qw + -36qw2 + 96w2 = -40 + 184w

Add '-96w2' to each side of the equation.
-15q + 69qw + -36qw2 + 96w2 + -96w2 = -40 + 184w + -96w2

Combine like terms: 96w2 + -96w2 = 0
-15q + 69qw + -36qw2 + 0 = -40 + 184w + -96w2
-15q + 69qw + -36qw2 = -40 + 184w + -96w2

Reorder the terms:
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = -40 + 184w + -96w2 + 40 + -184w + 96w2

Reorder the terms:
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = -40 + 40 + 184w + -184w + -96w2 + 96w2

Combine like terms: -40 + 40 = 0
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = 0 + 184w + -184w + -96w2 + 96w2
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = 184w + -184w + -96w2 + 96w2

Combine like terms: 184w + -184w = 0
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = 0 + -96w2 + 96w2
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = -96w2 + 96w2

Combine like terms: -96w2 + 96w2 = 0
40 + -15q + 69qw + -36qw2 + -184w + 96w2 = 0

The solution to this equation could not be determined.

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