X^4+8x^2-9=0

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Solution for X^4+8x^2-9=0 equation:


Simplifying
X4 + 8x2 + -9 = 0

Reorder the terms:
-9 + X4 + 8x2 = 0

Solving
-9 + X4 + 8x2 = 0

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + X4 + 9 + 8x2 = 0 + 9

Reorder the terms:
-9 + 9 + X4 + 8x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + X4 + 8x2 = 0 + 9
X4 + 8x2 = 0 + 9

Combine like terms: 0 + 9 = 9
X4 + 8x2 = 9

Add '-8x2' to each side of the equation.
X4 + 8x2 + -8x2 = 9 + -8x2

Combine like terms: 8x2 + -8x2 = 0
X4 + 0 = 9 + -8x2
X4 = 9 + -8x2

Simplifying
X4 = 9 + -8x2

Reorder the terms:
-9 + X4 + 8x2 = 9 + -8x2 + -9 + 8x2

Reorder the terms:
-9 + X4 + 8x2 = 9 + -9 + -8x2 + 8x2

Combine like terms: 9 + -9 = 0
-9 + X4 + 8x2 = 0 + -8x2 + 8x2
-9 + X4 + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-9 + X4 + 8x2 = 0

Factor a trinomial.
(X2 + -8x)(X2 + -1x) = 0

Subproblem 1

Set the factor '(X2 + -8x)' equal to zero and attempt to solve: Simplifying X2 + -8x = 0 Solving X2 + -8x = 0 Move all terms containing X to the left, all other terms to the right. Add '8x' to each side of the equation. X2 + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 X2 + 0 = 0 + 8x X2 = 0 + 8x Remove the zero: X2 = 8x Simplifying X2 = 8x 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 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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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