r^4-49=

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Solution for r^4-49= equation: 


Simplifying
r4 + -49 = 0

Reorder the terms:
-49 + r4 = 0

Solving
-49 + r4 = 0

Solving for variable 'r'.

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

Add '49' to each side of the equation.
-49 + 49 + r4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + r4 = 0 + 49
r4 = 0 + 49

Combine like terms: 0 + 49 = 49
r4 = 49

Simplifying
r4 = 49

Reorder the terms:
-49 + r4 = 49 + -49

Combine like terms: 49 + -49 = 0
-49 + r4 = 0

Factor a difference between two squares.
(7 + r2)(-7 + r2) = 0


Subproblem 1
Set the factor '(7 + r2)' equal to zero and attempt to solve:

Simplifying
7 + r2 = 0

Solving
7 + r2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + r2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + r2 = 0 + -7
r2 = 0 + -7

Combine like terms: 0 + -7 = -7
r2 = -7

Simplifying
r2 = -7

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 '(-7 + r2)' equal to zero and attempt to solve:

Simplifying
-7 + r2 = 0

Solving
-7 + r2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + r2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + r2 = 0 + 7
r2 = 0 + 7

Combine like terms: 0 + 7 = 7
r2 = 7

Simplifying
r2 = 7

Take the square root of each side:
r = {-2.645751311, 2.645751311}
Solution
r = {-2.645751311, 2.645751311}

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