625m^4-1=0

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Solution for 625m^4-1=0 equation:


Simplifying
625m4 + -1 = 0

Reorder the terms:
-1 + 625m4 = 0

Solving
-1 + 625m4 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + 625m4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 625m4 = 0 + 1
625m4 = 0 + 1

Combine like terms: 0 + 1 = 1
625m4 = 1

Divide each side by '625'.
m4 = 0.0016

Simplifying
m4 = 0.0016

Reorder the terms:
-0.0016 + m4 = 0.0016 + -0.0016

Combine like terms: 0.0016 + -0.0016 = 0.0000
-0.0016 + m4 = 0.0000

Factor a difference between two squares.
(0.04 + m2)(-0.04 + m2) = 0.0000

Factor a difference between two squares.
(0.04 + m2)((0.2 + m)(-0.2 + m)) = 0.0000

Subproblem 1

Set the factor '(0.04 + m2)' equal to zero and attempt to solve: Simplifying 0.04 + m2 = 0 Solving 0.04 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + m2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + m2 = 0 + -0.04 m2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 m2 = -0.04 Simplifying m2 = -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 + m)' equal to zero and attempt to solve: Simplifying 0.2 + m = 0 Solving 0.2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + m = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + m = 0 + -0.2 m = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 m = -0.2 Simplifying m = -0.2

Subproblem 3

Set the factor '(-0.2 + m)' equal to zero and attempt to solve: Simplifying -0.2 + m = 0 Solving -0.2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + m = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + m = 0 + 0.2 m = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 m = 0.2 Simplifying m = 0.2

Solution

m = {-0.2, 0.2}

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