-4=r^20-5

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Solution for -4=r^20-5 equation:


Simplifying
-4 = r20 + -5

Reorder the terms:
-4 = -5 + r20

Solving
-4 = -5 + r20

Solving for variable 'r'.

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

Add '-1r20' to each side of the equation.
-4 + -1r20 = -5 + r20 + -1r20

Combine like terms: r20 + -1r20 = 0
-4 + -1r20 = -5 + 0
-4 + -1r20 = -5

Add '4' to each side of the equation.
-4 + 4 + -1r20 = -5 + 4

Combine like terms: -4 + 4 = 0
0 + -1r20 = -5 + 4
-1r20 = -5 + 4

Combine like terms: -5 + 4 = -1
-1r20 = -1

Divide each side by '-1'.
r20 = 1

Simplifying
r20 = 1

Reorder the terms:
-1 + r20 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + r20 = 0

Factor a difference between two squares.
(1 + r10)(-1 + r10) = 0

Factor a difference between two squares.
(1 + r10)((1 + r5)(-1 + r5)) = 0

Subproblem 1

Set the factor '(1 + r10)' equal to zero and attempt to solve: Simplifying 1 + r10 = 0 Solving 1 + r10 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r10 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r10 = 0 + -1 r10 = 0 + -1 Combine like terms: 0 + -1 = -1 r10 = -1 Simplifying r10 = -1 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 '(1 + r5)' equal to zero and attempt to solve: Simplifying 1 + r5 = 0 Solving 1 + r5 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r5 = 0 + -1 r5 = 0 + -1 Combine like terms: 0 + -1 = -1 r5 = -1 Simplifying r5 = -1 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 '(-1 + r5)' equal to zero and attempt to solve: Simplifying -1 + r5 = 0 Solving -1 + r5 = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + r5 = 0 + 1 r5 = 0 + 1 Combine like terms: 0 + 1 = 1 r5 = 1 Simplifying r5 = 1 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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