w^2+5w=5w+9

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Solution for w^2+5w=5w+9 equation: 


Simplifying
w2 + 5w = 5w + 9

Reorder the terms:
5w + w2 = 5w + 9

Reorder the terms:
5w + w2 = 9 + 5w

Add '-5w' to each side of the equation.
5w + -5w + w2 = 9 + 5w + -5w

Combine like terms: 5w + -5w = 0
0 + w2 = 9 + 5w + -5w
w2 = 9 + 5w + -5w

Combine like terms: 5w + -5w = 0
w2 = 9 + 0
w2 = 9

Solving
w2 = 9

Solving for variable 'w'.

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

Simplifying
w2 = 9

Take the square root of each side:
w = {-3, 3}

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