(r^8t^4-4)(r^8t^4-4)=

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Solution for (r^8t^4-4)(r^8t^4-4)= equation:


Simplifying
(r8t4 + -4)(r8t4 + -4) = 0

Reorder the terms:
(-4 + r8t4)(r8t4 + -4) = 0

Reorder the terms:
(-4 + r8t4)(-4 + r8t4) = 0

Multiply (-4 + r8t4) * (-4 + r8t4)
(-4(-4 + r8t4) + r8t4(-4 + r8t4)) = 0
((-4 * -4 + r8t4 * -4) + r8t4(-4 + r8t4)) = 0
((16 + -4r8t4) + r8t4(-4 + r8t4)) = 0
(16 + -4r8t4 + (-4 * r8t4 + r8t4 * r8t4)) = 0
(16 + -4r8t4 + (-4r8t4 + r16t8)) = 0

Combine like terms: -4r8t4 + -4r8t4 = -8r8t4
(16 + -8r8t4 + r16t8) = 0

Solving
16 + -8r8t4 + r16t8 = 0

Solving for variable 'r'.

Factor a trinomial.
(4 + -1r8t4)(4 + -1r8t4) = 0

Factor a difference between two squares.
((2 + r4t2)(2 + -1r4t2))(4 + -1r8t4) = 0

Factor a difference between two squares.
((2 + r4t2)(2 + -1r4t2))(2 + r4t2)(2 + -1r4t2) = 0

Subproblem 1

Set the factor '(2 + r4t2)' equal to zero and attempt to solve: Simplifying 2 + r4t2 = 0 Solving 2 + r4t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r4t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r4t2 = 0 + -2 r4t2 = 0 + -2 Combine like terms: 0 + -2 = -2 r4t2 = -2 Divide each side by 't2'. r4 = -2t-2 Simplifying r4 = -2t-2 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 '(2 + -1r4t2)' equal to zero and attempt to solve: Simplifying 2 + -1r4t2 = 0 Solving 2 + -1r4t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r4t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r4t2 = 0 + -2 -1r4t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1r4t2 = -2 Divide each side by '-1t2'. r4 = 2t-2 Simplifying r4 = 2t-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + r4t2)' equal to zero and attempt to solve: Simplifying 2 + r4t2 = 0 Solving 2 + r4t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r4t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r4t2 = 0 + -2 r4t2 = 0 + -2 Combine like terms: 0 + -2 = -2 r4t2 = -2 Divide each side by 't2'. r4 = -2t-2 Simplifying r4 = -2t-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 4

Set the factor '(2 + -1r4t2)' equal to zero and attempt to solve: Simplifying 2 + -1r4t2 = 0 Solving 2 + -1r4t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r4t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r4t2 = 0 + -2 -1r4t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1r4t2 = -2 Divide each side by '-1t2'. r4 = 2t-2 Simplifying r4 = 2t-2 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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