x^4-18w^2+81=0

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Solution for x^4-18w^2+81=0 equation:


Simplifying
x4 + -18w2 + 81 = 0

Reorder the terms:
81 + -18w2 + x4 = 0

Solving
81 + -18w2 + x4 = 0

Solving for variable 'w'.

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

Add '-81' to each side of the equation.
81 + -18w2 + -81 + x4 = 0 + -81

Reorder the terms:
81 + -81 + -18w2 + x4 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -18w2 + x4 = 0 + -81
-18w2 + x4 = 0 + -81

Combine like terms: 0 + -81 = -81
-18w2 + x4 = -81

Add '-1x4' to each side of the equation.
-18w2 + x4 + -1x4 = -81 + -1x4

Combine like terms: x4 + -1x4 = 0
-18w2 + 0 = -81 + -1x4
-18w2 = -81 + -1x4

Divide each side by '-18'.
w2 = 4.5 + 0.05555555556x4

Simplifying
w2 = 4.5 + 0.05555555556x4

Reorder the terms:
-4.5 + w2 + -0.05555555556x4 = 4.5 + 0.05555555556x4 + -4.5 + -0.05555555556x4

Reorder the terms:
-4.5 + w2 + -0.05555555556x4 = 4.5 + -4.5 + 0.05555555556x4 + -0.05555555556x4

Combine like terms: 4.5 + -4.5 = 0.0
-4.5 + w2 + -0.05555555556x4 = 0.0 + 0.05555555556x4 + -0.05555555556x4
-4.5 + w2 + -0.05555555556x4 = 0.05555555556x4 + -0.05555555556x4

Combine like terms: 0.05555555556x4 + -0.05555555556x4 = 0.00000000000
-4.5 + w2 + -0.05555555556x4 = 0.00000000000

The solution to this equation could not be determined.

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