(2w-6u+4)(3w-2)=

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Solution for (2w-6u+4)(3w-2)= equation:


Simplifying
(2w + -6u + 4)(3w + -2) = 0

Reorder the terms:
(4 + -6u + 2w)(3w + -2) = 0

Reorder the terms:
(4 + -6u + 2w)(-2 + 3w) = 0

Multiply (4 + -6u + 2w) * (-2 + 3w)
(4(-2 + 3w) + -6u * (-2 + 3w) + 2w * (-2 + 3w)) = 0
((-2 * 4 + 3w * 4) + -6u * (-2 + 3w) + 2w * (-2 + 3w)) = 0
((-8 + 12w) + -6u * (-2 + 3w) + 2w * (-2 + 3w)) = 0
(-8 + 12w + (-2 * -6u + 3w * -6u) + 2w * (-2 + 3w)) = 0
(-8 + 12w + (12u + -18uw) + 2w * (-2 + 3w)) = 0
(-8 + 12w + 12u + -18uw + (-2 * 2w + 3w * 2w)) = 0
(-8 + 12w + 12u + -18uw + (-4w + 6w2)) = 0

Reorder the terms:
(-8 + 12u + -18uw + 12w + -4w + 6w2) = 0

Combine like terms: 12w + -4w = 8w
(-8 + 12u + -18uw + 8w + 6w2) = 0

Solving
-8 + 12u + -18uw + 8w + 6w2 = 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 + 12u + -18uw + 8w + 8 + 6w2 = 0 + 8

Reorder the terms:
-8 + 8 + 12u + -18uw + 8w + 6w2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 12u + -18uw + 8w + 6w2 = 0 + 8
12u + -18uw + 8w + 6w2 = 0 + 8

Combine like terms: 0 + 8 = 8
12u + -18uw + 8w + 6w2 = 8

Add '-8w' to each side of the equation.
12u + -18uw + 8w + -8w + 6w2 = 8 + -8w

Combine like terms: 8w + -8w = 0
12u + -18uw + 0 + 6w2 = 8 + -8w
12u + -18uw + 6w2 = 8 + -8w

Add '-6w2' to each side of the equation.
12u + -18uw + 6w2 + -6w2 = 8 + -8w + -6w2

Combine like terms: 6w2 + -6w2 = 0
12u + -18uw + 0 = 8 + -8w + -6w2
12u + -18uw = 8 + -8w + -6w2

Reorder the terms:
-8 + 12u + -18uw + 8w + 6w2 = 8 + -8w + -6w2 + -8 + 8w + 6w2

Reorder the terms:
-8 + 12u + -18uw + 8w + 6w2 = 8 + -8 + -8w + 8w + -6w2 + 6w2

Combine like terms: 8 + -8 = 0
-8 + 12u + -18uw + 8w + 6w2 = 0 + -8w + 8w + -6w2 + 6w2
-8 + 12u + -18uw + 8w + 6w2 = -8w + 8w + -6w2 + 6w2

Combine like terms: -8w + 8w = 0
-8 + 12u + -18uw + 8w + 6w2 = 0 + -6w2 + 6w2
-8 + 12u + -18uw + 8w + 6w2 = -6w2 + 6w2

Combine like terms: -6w2 + 6w2 = 0
-8 + 12u + -18uw + 8w + 6w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 6u + -9uw + 4w + 3w2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + 6u + -9uw + 4w + 3w2)' equal to zero and attempt to solve: Simplifying -4 + 6u + -9uw + 4w + 3w2 = 0 Solving -4 + 6u + -9uw + 4w + 3w2 = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6u + -9uw + 4w + 4 + 3w2 = 0 + 4 Reorder the terms: -4 + 4 + 6u + -9uw + 4w + 3w2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6u + -9uw + 4w + 3w2 = 0 + 4 6u + -9uw + 4w + 3w2 = 0 + 4 Combine like terms: 0 + 4 = 4 6u + -9uw + 4w + 3w2 = 4 Add '-4w' to each side of the equation. 6u + -9uw + 4w + -4w + 3w2 = 4 + -4w Combine like terms: 4w + -4w = 0 6u + -9uw + 0 + 3w2 = 4 + -4w 6u + -9uw + 3w2 = 4 + -4w Add '-3w2' to each side of the equation. 6u + -9uw + 3w2 + -3w2 = 4 + -4w + -3w2 Combine like terms: 3w2 + -3w2 = 0 6u + -9uw + 0 = 4 + -4w + -3w2 6u + -9uw = 4 + -4w + -3w2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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