m^4-49n^2=0

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Solution for m^4-49n^2=0 equation:


Simplifying
m4 + -49n2 = 0

Solving
m4 + -49n2 = 0

Solving for variable 'm'.

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

Add '49n2' to each side of the equation.
m4 + -49n2 + 49n2 = 0 + 49n2

Combine like terms: -49n2 + 49n2 = 0
m4 + 0 = 0 + 49n2
m4 = 0 + 49n2
Remove the zero:
m4 = 49n2

Simplifying
m4 = 49n2

Combine like terms: 49n2 + -49n2 = 0
m4 + -49n2 = 0

Factor a difference between two squares.
(m2 + 7n)(m2 + -7n) = 0

Subproblem 1

Set the factor '(m2 + 7n)' equal to zero and attempt to solve: Simplifying m2 + 7n = 0 Solving m2 + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. m2 + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 m2 + 0 = 0 + -7n m2 = 0 + -7n Remove the zero: m2 = -7n Simplifying m2 = -7n 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 '(m2 + -7n)' equal to zero and attempt to solve: Simplifying m2 + -7n = 0 Solving m2 + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. m2 + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 m2 + 0 = 0 + 7n m2 = 0 + 7n Remove the zero: m2 = 7n Simplifying m2 = 7n 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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