4x^2-t^4=

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Solution for 4x^2-t^4= equation:


Simplifying
4x2 + -1t4 = 0

Reorder the terms:
-1t4 + 4x2 = 0

Solving
-1t4 + 4x2 = 0

Solving for variable 't'.

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

Add '-4x2' to each side of the equation.
-1t4 + 4x2 + -4x2 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1t4 + 0 = 0 + -4x2
-1t4 = 0 + -4x2
Remove the zero:
-1t4 = -4x2

Divide each side by '-1'.
t4 = 4x2

Simplifying
t4 = 4x2

Combine like terms: 4x2 + -4x2 = 0
t4 + -4x2 = 0

Factor a difference between two squares.
(t2 + 2x)(t2 + -2x) = 0

Subproblem 1

Set the factor '(t2 + 2x)' equal to zero and attempt to solve: Simplifying t2 + 2x = 0 Solving t2 + 2x = 0 Move all terms containing t to the left, all other terms to the right. Add '-2x' to each side of the equation. t2 + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 t2 + 0 = 0 + -2x t2 = 0 + -2x Remove the zero: t2 = -2x Simplifying t2 = -2x 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 '(t2 + -2x)' equal to zero and attempt to solve: Simplifying t2 + -2x = 0 Solving t2 + -2x = 0 Move all terms containing t to the left, all other terms to the right. Add '2x' to each side of the equation. t2 + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 t2 + 0 = 0 + 2x t2 = 0 + 2x Remove the zero: t2 = 2x Simplifying t2 = 2x 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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