7m^4-112=0

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Solution for 7m^4-112=0 equation:


Simplifying
7m4 + -112 = 0

Reorder the terms:
-112 + 7m4 = 0

Solving
-112 + 7m4 = 0

Solving for variable 'm'.

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

Add '112' to each side of the equation.
-112 + 112 + 7m4 = 0 + 112

Combine like terms: -112 + 112 = 0
0 + 7m4 = 0 + 112
7m4 = 0 + 112

Combine like terms: 0 + 112 = 112
7m4 = 112

Divide each side by '7'.
m4 = 16

Simplifying
m4 = 16

Reorder the terms:
-16 + m4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + m4 = 0

Factor a difference between two squares.
(4 + m2)(-4 + m2) = 0

Factor a difference between two squares.
(4 + m2)((2 + m)(-2 + m)) = 0

Subproblem 1

Set the factor '(4 + m2)' equal to zero and attempt to solve: Simplifying 4 + m2 = 0 Solving 4 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m2 = 0 + -4 m2 = 0 + -4 Combine like terms: 0 + -4 = -4 m2 = -4 Simplifying m2 = -4 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 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2

Subproblem 3

Set the factor '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 m = 2 Simplifying m = 2

Solution

m = {-2, 2}

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