x^4=8.1x^2

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Solution for x^4=8.1x^2 equation: 


Simplifying
x4 = 8.1x2

Solving
x4 = 8.1x2

Solving for variable 'x'.

Reorder the terms:
-8.1x2 + x4 = 8.1x2 + -8.1x2

Combine like terms: 8.1x2 + -8.1x2 = 0.0
-8.1x2 + x4 = 0.0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-8.1 + x2) = 0.0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-8.1 + x2)' equal to zero and attempt to solve:

Simplifying
-8.1 + x2 = 0

Solving
-8.1 + x2 = 0

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

Add '8.1' to each side of the equation.
-8.1 + 8.1 + x2 = 0 + 8.1

Combine like terms: -8.1 + 8.1 = 0.0
0.0 + x2 = 0 + 8.1
x2 = 0 + 8.1

Combine like terms: 0 + 8.1 = 8.1
x2 = 8.1

Simplifying
x2 = 8.1

Take the square root of each side:
x = {-2.846049894, 2.846049894}
Solution
x = {0, -2.846049894, 2.846049894}

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