4t^6-r^10=0

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Solution for 4t^6-r^10=0 equation: 


Simplifying
4t6 + -1r10 = 0

Reorder the terms:
-1r10 + 4t6 = 0

Solving
-1r10 + 4t6 = 0

Solving for variable 'r'.

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

Add '-4t6' to each side of the equation.
-1r10 + 4t6 + -4t6 = 0 + -4t6

Combine like terms: 4t6 + -4t6 = 0
-1r10 + 0 = 0 + -4t6
-1r10 = 0 + -4t6
Remove the zero:
-1r10 = -4t6

Divide each side by '-1'.
r10 = 4t6

Simplifying
r10 = 4t6

Combine like terms: 4t6 + -4t6 = 0
r10 + -4t6 = 0

Factor a difference between two squares.
(r5 + 2t3)(r5 + -2t3) = 0


Subproblem 1
Set the factor '(r5 + 2t3)' equal to zero and attempt to solve:

Simplifying
r5 + 2t3 = 0

Solving
r5 + 2t3 = 0

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

Add '-2t3' to each side of the equation.
r5 + 2t3 + -2t3 = 0 + -2t3

Combine like terms: 2t3 + -2t3 = 0
r5 + 0 = 0 + -2t3
r5 = 0 + -2t3
Remove the zero:
r5 = -2t3

Simplifying
r5 = -2t3

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 '(r5 + -2t3)' equal to zero and attempt to solve:

Simplifying
r5 + -2t3 = 0

Solving
r5 + -2t3 = 0

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

Add '2t3' to each side of the equation.
r5 + -2t3 + 2t3 = 0 + 2t3

Combine like terms: -2t3 + 2t3 = 0
r5 + 0 = 0 + 2t3
r5 = 0 + 2t3
Remove the zero:
r5 = 2t3

Simplifying
r5 = 2t3

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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