w(4w-5)-4w(w-4)=w-1

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Solution for w(4w-5)-4w(w-4)=w-1 equation: 


Simplifying
w(4w + -5) + -4w(w + -4) = w + -1

Reorder the terms:
w(-5 + 4w) + -4w(w + -4) = w + -1
(-5 * w + 4w * w) + -4w(w + -4) = w + -1
(-5w + 4w2) + -4w(w + -4) = w + -1

Reorder the terms:
-5w + 4w2 + -4w(-4 + w) = w + -1
-5w + 4w2 + (-4 * -4w + w * -4w) = w + -1
-5w + 4w2 + (16w + -4w2) = w + -1

Reorder the terms:
-5w + 16w + 4w2 + -4w2 = w + -1

Combine like terms: -5w + 16w = 11w
11w + 4w2 + -4w2 = w + -1

Combine like terms: 4w2 + -4w2 = 0
11w + 0 = w + -1
11w = w + -1

Reorder the terms:
11w = -1 + w

Solving
11w = -1 + 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.
11w + -1w = -1 + w + -1w

Combine like terms: 11w + -1w = 10w
10w = -1 + w + -1w

Combine like terms: w + -1w = 0
10w = -1 + 0
10w = -1

Divide each side by '10'.
w = -0.1

Simplifying
w = -0.1

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