W(4w+6)+2w=2w^2+7w-3

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Solution for W(4w+6)+2w=2w^2+7w-3 equation:


Simplifying
W(4w + 6) + 2w = 2w2 + 7w + -3

Reorder the terms:
W(6 + 4w) + 2w = 2w2 + 7w + -3
(6 * W + 4w * W) + 2w = 2w2 + 7w + -3
(6W + 4wW) + 2w = 2w2 + 7w + -3

Reorder the terms:
6W + 2w + 4wW = 2w2 + 7w + -3

Reorder the terms:
6W + 2w + 4wW = -3 + 7w + 2w2

Solving
6W + 2w + 4wW = -3 + 7w + 2w2

Solving for variable 'W'.

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

Add '-2w' to each side of the equation.
6W + 2w + -2w + 4wW = -3 + 7w + -2w + 2w2

Combine like terms: 2w + -2w = 0
6W + 0 + 4wW = -3 + 7w + -2w + 2w2
6W + 4wW = -3 + 7w + -2w + 2w2

Combine like terms: 7w + -2w = 5w
6W + 4wW = -3 + 5w + 2w2

Reorder the terms:
3 + 6W + -5w + 4wW + -2w2 = -3 + 5w + 2w2 + 3 + -5w + -2w2

Reorder the terms:
3 + 6W + -5w + 4wW + -2w2 = -3 + 3 + 5w + -5w + 2w2 + -2w2

Combine like terms: -3 + 3 = 0
3 + 6W + -5w + 4wW + -2w2 = 0 + 5w + -5w + 2w2 + -2w2
3 + 6W + -5w + 4wW + -2w2 = 5w + -5w + 2w2 + -2w2

Combine like terms: 5w + -5w = 0
3 + 6W + -5w + 4wW + -2w2 = 0 + 2w2 + -2w2
3 + 6W + -5w + 4wW + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
3 + 6W + -5w + 4wW + -2w2 = 0

The solution to this equation could not be determined.

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