X^4-26x^2=-25

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Solution for X^4-26x^2=-25 equation:


Simplifying
X4 + -26x2 = -25

Solving
X4 + -26x2 = -25

Solving for variable 'X'.

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

Add '26x2' to each side of the equation.
X4 + -26x2 + 26x2 = -25 + 26x2

Combine like terms: -26x2 + 26x2 = 0
X4 + 0 = -25 + 26x2
X4 = -25 + 26x2

Simplifying
X4 = -25 + 26x2

Reorder the terms:
25 + X4 + -26x2 = -25 + 26x2 + 25 + -26x2

Reorder the terms:
25 + X4 + -26x2 = -25 + 25 + 26x2 + -26x2

Combine like terms: -25 + 25 = 0
25 + X4 + -26x2 = 0 + 26x2 + -26x2
25 + X4 + -26x2 = 26x2 + -26x2

Combine like terms: 26x2 + -26x2 = 0
25 + X4 + -26x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + 26x) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(X2 + 26x)' equal to zero and attempt to solve: Simplifying X2 + 26x = 0 Solving X2 + 26x = 0 Move all terms containing X to the left, all other terms to the right. Add '-26x' to each side of the equation. X2 + 26x + -26x = 0 + -26x Combine like terms: 26x + -26x = 0 X2 + 0 = 0 + -26x X2 = 0 + -26x Remove the zero: X2 = -26x Simplifying X2 = -26x 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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