w(3w-2)-3w(w-3)=w-1

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Solution for w(3w-2)-3w(w-3)=w-1 equation: 


Simplifying
w(3w + -2) + -3w(w + -3) = w + -1

Reorder the terms:
w(-2 + 3w) + -3w(w + -3) = w + -1
(-2 * w + 3w * w) + -3w(w + -3) = w + -1
(-2w + 3w2) + -3w(w + -3) = w + -1

Reorder the terms:
-2w + 3w2 + -3w(-3 + w) = w + -1
-2w + 3w2 + (-3 * -3w + w * -3w) = w + -1
-2w + 3w2 + (9w + -3w2) = w + -1

Reorder the terms:
-2w + 9w + 3w2 + -3w2 = w + -1

Combine like terms: -2w + 9w = 7w
7w + 3w2 + -3w2 = w + -1

Combine like terms: 3w2 + -3w2 = 0
7w + 0 = w + -1
7w = w + -1

Reorder the terms:
7w = -1 + w

Solving
7w = -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.
7w + -1w = -1 + w + -1w

Combine like terms: 7w + -1w = 6w
6w = -1 + w + -1w

Combine like terms: w + -1w = 0
6w = -1 + 0
6w = -1

Divide each side by '6'.
w = -0.1666666667

Simplifying
w = -0.1666666667

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