w^2-36=2w^2-8w+15

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Solution for w^2-36=2w^2-8w+15 equation: 


Simplifying
w2 + -36 = 2w2 + -8w + 15

Reorder the terms:
-36 + w2 = 2w2 + -8w + 15

Reorder the terms:
-36 + w2 = 15 + -8w + 2w2

Solving
-36 + w2 = 15 + -8w + 2w2

Solving for variable 'w'.

Reorder the terms:
-36 + -15 + 8w + w2 + -2w2 = 15 + -8w + 2w2 + -15 + 8w + -2w2

Combine like terms: -36 + -15 = -51
-51 + 8w + w2 + -2w2 = 15 + -8w + 2w2 + -15 + 8w + -2w2

Combine like terms: w2 + -2w2 = -1w2
-51 + 8w + -1w2 = 15 + -8w + 2w2 + -15 + 8w + -2w2

Reorder the terms:
-51 + 8w + -1w2 = 15 + -15 + -8w + 8w + 2w2 + -2w2

Combine like terms: 15 + -15 = 0
-51 + 8w + -1w2 = 0 + -8w + 8w + 2w2 + -2w2
-51 + 8w + -1w2 = -8w + 8w + 2w2 + -2w2

Combine like terms: -8w + 8w = 0
-51 + 8w + -1w2 = 0 + 2w2 + -2w2
-51 + 8w + -1w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
-51 + 8w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
51 + -8w + w2 = 0

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + -8w + -51 + w2 = 0 + -51

Reorder the terms:
51 + -51 + -8w + w2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -8w + w2 = 0 + -51
-8w + w2 = 0 + -51

Combine like terms: 0 + -51 = -51
-8w + w2 = -51

The w term is -8w.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8w + 16 + w2 = -51 + 16

Reorder the terms:
16 + -8w + w2 = -51 + 16

Combine like terms: -51 + 16 = -35
16 + -8w + w2 = -35

Factor a perfect square on the left side:
(w + -4)(w + -4) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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