w(4w-3)-4w(w-5)=w-2

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Solution for w(4w-3)-4w(w-5)=w-2 equation: 


Simplifying
w(4w + -3) + -4w(w + -5) = w + -2

Reorder the terms:
w(-3 + 4w) + -4w(w + -5) = w + -2
(-3 * w + 4w * w) + -4w(w + -5) = w + -2
(-3w + 4w2) + -4w(w + -5) = w + -2

Reorder the terms:
-3w + 4w2 + -4w(-5 + w) = w + -2
-3w + 4w2 + (-5 * -4w + w * -4w) = w + -2
-3w + 4w2 + (20w + -4w2) = w + -2

Reorder the terms:
-3w + 20w + 4w2 + -4w2 = w + -2

Combine like terms: -3w + 20w = 17w
17w + 4w2 + -4w2 = w + -2

Combine like terms: 4w2 + -4w2 = 0
17w + 0 = w + -2
17w = w + -2

Reorder the terms:
17w = -2 + w

Solving
17w = -2 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
17w + -1w = -2 + w + -1w

Combine like terms: 17w + -1w = 16w
16w = -2 + w + -1w

Combine like terms: w + -1w = 0
16w = -2 + 0
16w = -2

Divide each side by '16'.
w = -0.125

Simplifying
w = -0.125

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