(W-4)(3w+5)-(5-w)(3-4w)=

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


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

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

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

Multiply (-4 + W) * (5 + 3w)
(-4(5 + 3w) + W(5 + 3w)) + -1(5 + -1w)(3 + -4w) = 0
((5 * -4 + 3w * -4) + W(5 + 3w)) + -1(5 + -1w)(3 + -4w) = 0
((-20 + -12w) + W(5 + 3w)) + -1(5 + -1w)(3 + -4w) = 0
(-20 + -12w + (5 * W + 3w * W)) + -1(5 + -1w)(3 + -4w) = 0
(-20 + -12w + (5W + 3wW)) + -1(5 + -1w)(3 + -4w) = 0

Reorder the terms:
(-20 + 5W + -12w + 3wW) + -1(5 + -1w)(3 + -4w) = 0
(-20 + 5W + -12w + 3wW) + -1(5 + -1w)(3 + -4w) = 0

Multiply (5 + -1w) * (3 + -4w)
-20 + 5W + -12w + 3wW + -1(5(3 + -4w) + -1w * (3 + -4w)) = 0
-20 + 5W + -12w + 3wW + -1((3 * 5 + -4w * 5) + -1w * (3 + -4w)) = 0
-20 + 5W + -12w + 3wW + -1((15 + -20w) + -1w * (3 + -4w)) = 0
-20 + 5W + -12w + 3wW + -1(15 + -20w + (3 * -1w + -4w * -1w)) = 0
-20 + 5W + -12w + 3wW + -1(15 + -20w + (-3w + 4w2)) = 0

Combine like terms: -20w + -3w = -23w
-20 + 5W + -12w + 3wW + -1(15 + -23w + 4w2) = 0
-20 + 5W + -12w + 3wW + (15 * -1 + -23w * -1 + 4w2 * -1) = 0
-20 + 5W + -12w + 3wW + (-15 + 23w + -4w2) = 0

Reorder the terms:
-20 + -15 + 5W + -12w + 23w + 3wW + -4w2 = 0

Combine like terms: -20 + -15 = -35
-35 + 5W + -12w + 23w + 3wW + -4w2 = 0

Combine like terms: -12w + 23w = 11w
-35 + 5W + 11w + 3wW + -4w2 = 0

Solving
-35 + 5W + 11w + 3wW + -4w2 = 0

Solving for variable 'W'.

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

Add '35' to each side of the equation.
-35 + 5W + 11w + 3wW + 35 + -4w2 = 0 + 35

Reorder the terms:
-35 + 35 + 5W + 11w + 3wW + -4w2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 5W + 11w + 3wW + -4w2 = 0 + 35
5W + 11w + 3wW + -4w2 = 0 + 35

Combine like terms: 0 + 35 = 35
5W + 11w + 3wW + -4w2 = 35

Add '-11w' to each side of the equation.
5W + 11w + 3wW + -11w + -4w2 = 35 + -11w

Reorder the terms:
5W + 11w + -11w + 3wW + -4w2 = 35 + -11w

Combine like terms: 11w + -11w = 0
5W + 0 + 3wW + -4w2 = 35 + -11w
5W + 3wW + -4w2 = 35 + -11w

Add '4w2' to each side of the equation.
5W + 3wW + -4w2 + 4w2 = 35 + -11w + 4w2

Combine like terms: -4w2 + 4w2 = 0
5W + 3wW + 0 = 35 + -11w + 4w2
5W + 3wW = 35 + -11w + 4w2

Reorder the terms:
-35 + 5W + 11w + 3wW + -4w2 = 35 + -11w + 4w2 + -35 + 11w + -4w2

Reorder the terms:
-35 + 5W + 11w + 3wW + -4w2 = 35 + -35 + -11w + 11w + 4w2 + -4w2

Combine like terms: 35 + -35 = 0
-35 + 5W + 11w + 3wW + -4w2 = 0 + -11w + 11w + 4w2 + -4w2
-35 + 5W + 11w + 3wW + -4w2 = -11w + 11w + 4w2 + -4w2

Combine like terms: -11w + 11w = 0
-35 + 5W + 11w + 3wW + -4w2 = 0 + 4w2 + -4w2
-35 + 5W + 11w + 3wW + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
-35 + 5W + 11w + 3wW + -4w2 = 0

The solution to this equation could not be determined.

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