w^2+45w+45=w^2+25w

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Solution for w^2+45w+45=w^2+25w equation:


Simplifying
w2 + 45w + 45 = w2 + 25w

Reorder the terms:
45 + 45w + w2 = w2 + 25w

Reorder the terms:
45 + 45w + w2 = 25w + w2

Add '-1w2' to each side of the equation.
45 + 45w + w2 + -1w2 = 25w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
45 + 45w + 0 = 25w + w2 + -1w2
45 + 45w = 25w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
45 + 45w = 25w + 0
45 + 45w = 25w

Solving
45 + 45w = 25w

Solving for variable 'w'.

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

Add '-25w' to each side of the equation.
45 + 45w + -25w = 25w + -25w

Combine like terms: 45w + -25w = 20w
45 + 20w = 25w + -25w

Combine like terms: 25w + -25w = 0
45 + 20w = 0

Add '-45' to each side of the equation.
45 + -45 + 20w = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 20w = 0 + -45
20w = 0 + -45

Combine like terms: 0 + -45 = -45
20w = -45

Divide each side by '20'.
w = -2.25

Simplifying
w = -2.25

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