x^2-p^4=0

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Solution for x^2-p^4=0 equation:


Simplifying
x2 + -1p4 = 0

Reorder the terms:
-1p4 + x2 = 0

Solving
-1p4 + x2 = 0

Solving for variable 'p'.

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

Add '-1x2' to each side of the equation.
-1p4 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-1p4 + 0 = 0 + -1x2
-1p4 = 0 + -1x2
Remove the zero:
-1p4 = -1x2

Divide each side by '-1'.
p4 = x2

Simplifying
p4 = x2

Combine like terms: x2 + -1x2 = 0
p4 + -1x2 = 0

Factor a difference between two squares.
(p2 + x)(p2 + -1x) = 0

Subproblem 1

Set the factor '(p2 + x)' equal to zero and attempt to solve: Simplifying p2 + x = 0 Solving p2 + x = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x' to each side of the equation. p2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 p2 + 0 = 0 + -1x p2 = 0 + -1x Remove the zero: p2 = -1x Simplifying p2 = -1x 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 '(p2 + -1x)' equal to zero and attempt to solve: Simplifying p2 + -1x = 0 Solving p2 + -1x = 0 Move all terms containing p to the left, all other terms to the right. Add 'x' to each side of the equation. p2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 p2 + 0 = 0 + x p2 = 0 + x Remove the zero: p2 = x Simplifying p2 = 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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