X^4-324x^2=0

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Solution for X^4-324x^2=0 equation:


Simplifying
X4 + -324x2 = 0

Solving
X4 + -324x2 = 0

Solving for variable 'X'.

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

Add '324x2' to each side of the equation.
X4 + -324x2 + 324x2 = 0 + 324x2

Combine like terms: -324x2 + 324x2 = 0
X4 + 0 = 0 + 324x2
X4 = 0 + 324x2
Remove the zero:
X4 = 324x2

Simplifying
X4 = 324x2

Combine like terms: 324x2 + -324x2 = 0
X4 + -324x2 = 0

Factor a difference between two squares.
(X2 + 18x)(X2 + -18x) = 0

Subproblem 1

Set the factor '(X2 + 18x)' equal to zero and attempt to solve: Simplifying X2 + 18x = 0 Solving X2 + 18x = 0 Move all terms containing X to the left, all other terms to the right. Add '-18x' to each side of the equation. X2 + 18x + -18x = 0 + -18x Combine like terms: 18x + -18x = 0 X2 + 0 = 0 + -18x X2 = 0 + -18x Remove the zero: X2 = -18x Simplifying X2 = -18x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(X2 + -18x)' equal to zero and attempt to solve: Simplifying X2 + -18x = 0 Solving X2 + -18x = 0 Move all terms containing X to the left, all other terms to the right. Add '18x' to each side of the equation. X2 + -18x + 18x = 0 + 18x Combine like terms: -18x + 18x = 0 X2 + 0 = 0 + 18x X2 = 0 + 18x Remove the zero: X2 = 18x Simplifying X2 = 18x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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