x^2+6x+9-w^2=0

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Solution for x^2+6x+9-w^2=0 equation:


Simplifying
x2 + 6x + 9 + -1w2 = 0

Reorder the terms:
9 + -1w2 + 6x + x2 = 0

Solving
9 + -1w2 + 6x + x2 = 0

Solving for variable 'w'.

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

Add '-9' to each side of the equation.
9 + -1w2 + 6x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -1w2 + 6x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w2 + 6x + x2 = 0 + -9
-1w2 + 6x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1w2 + 6x + x2 = -9

Add '-6x' to each side of the equation.
-1w2 + 6x + -6x + x2 = -9 + -6x

Combine like terms: 6x + -6x = 0
-1w2 + 0 + x2 = -9 + -6x
-1w2 + x2 = -9 + -6x

Add '-1x2' to each side of the equation.
-1w2 + x2 + -1x2 = -9 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
-1w2 + 0 = -9 + -6x + -1x2
-1w2 = -9 + -6x + -1x2

Divide each side by '-1'.
w2 = 9 + 6x + x2

Simplifying
w2 = 9 + 6x + x2

Reorder the terms:
-9 + w2 + -6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
-9 + w2 + -6x + -1x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + w2 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-9 + w2 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-9 + w2 + -6x + -1x2 = 0 + x2 + -1x2
-9 + w2 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + w2 + -6x + -1x2 = 0

The solution to this equation could not be determined.

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