-6250*r^4=-10

Solution for -6250*r^4=-10 equation:

Simplifying
-6250r4 = -10

Solving
-6250r4 = -10

Solving for variable 'r'.

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

Divide each side by '-6250'.
r4 = 0.0016

Simplifying
r4 = 0.0016

Reorder the terms:
-0.0016 + r4 = 0.0016 + -0.0016

Combine like terms: 0.0016 + -0.0016 = 0.0000
-0.0016 + r4 = 0.0000

Factor a difference between two squares.
(0.04 + r2)(-0.04 + r2) = 0.0000

Factor a difference between two squares.
(0.04 + r2)((0.2 + r)(-0.2 + r)) = 0.0000

Subproblem 1
Set the factor '(0.04 + r2)' equal to zero and attempt to solve:

Simplifying
0.04 + r2 = 0

Solving
0.04 + r2 = 0

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

Add '-0.04' to each side of the equation.
0.04 + -0.04 + r2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + r2 = 0 + -0.04
r2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
r2 = -0.04

Simplifying
r2 = -0.04

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 '(0.2 + r)' equal to zero and attempt to solve:

Simplifying
0.2 + r = 0

Solving
0.2 + r = 0

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + r = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + r = 0 + -0.2
r = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
r = -0.2

Simplifying
r = -0.2
Subproblem 3
Set the factor '(-0.2 + r)' equal to zero and attempt to solve:

Simplifying
-0.2 + r = 0

Solving
-0.2 + r = 0

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + r = 0 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + r = 0 + 0.2
r = 0 + 0.2

Combine like terms: 0 + 0.2 = 0.2
r = 0.2

Simplifying
r = 0.2
Solution
r = {-0.2, 0.2}