y^4-8y^3+16x^2=0

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Solution for y^4-8y^3+16x^2=0 equation:


Simplifying
y4 + -8y3 + 16x2 = 0

Reorder the terms:
16x2 + -8y3 + y4 = 0

Solving
16x2 + -8y3 + y4 = 0

Solving for variable 'x'.

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

Add '8y3' to each side of the equation.
16x2 + -8y3 + 8y3 + y4 = 0 + 8y3

Combine like terms: -8y3 + 8y3 = 0
16x2 + 0 + y4 = 0 + 8y3
16x2 + y4 = 0 + 8y3
Remove the zero:
16x2 + y4 = 8y3

Add '-1y4' to each side of the equation.
16x2 + y4 + -1y4 = 8y3 + -1y4

Combine like terms: y4 + -1y4 = 0
16x2 + 0 = 8y3 + -1y4
16x2 = 8y3 + -1y4

Divide each side by '16'.
x2 = 0.5y3 + -0.0625y4

Simplifying
x2 = 0.5y3 + -0.0625y4

Reorder the terms:
x2 + -0.5y3 + 0.0625y4 = 0.5y3 + -0.5y3 + -0.0625y4 + 0.0625y4

Combine like terms: 0.5y3 + -0.5y3 = 0.0
x2 + -0.5y3 + 0.0625y4 = 0.0 + -0.0625y4 + 0.0625y4
x2 + -0.5y3 + 0.0625y4 = -0.0625y4 + 0.0625y4

Combine like terms: -0.0625y4 + 0.0625y4 = 0.0000
x2 + -0.5y3 + 0.0625y4 = 0.0000

The solution to this equation could not be determined.

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