4m-2n^2=2m-72form

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Solution for 4m-2n^2=2m-72form equation:


Simplifying
4m + -2n2 = 2m + -72form

Reorder the terms:
4m + -2n2 = -72fmor + 2m

Solving
4m + -2n2 = -72fmor + 2m

Solving for variable 'm'.

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

Add '72fmor' to each side of the equation.
4m + 72fmor + -2n2 = -72fmor + 72fmor + 2m

Reorder the terms:
72fmor + 4m + -2n2 = -72fmor + 72fmor + 2m

Combine like terms: -72fmor + 72fmor = 0
72fmor + 4m + -2n2 = 0 + 2m
72fmor + 4m + -2n2 = 2m

Add '-2m' to each side of the equation.
72fmor + 4m + -2m + -2n2 = 2m + -2m

Combine like terms: 4m + -2m = 2m
72fmor + 2m + -2n2 = 2m + -2m

Combine like terms: 2m + -2m = 0
72fmor + 2m + -2n2 = 0

Add '2n2' to each side of the equation.
72fmor + 2m + -2n2 + 2n2 = 0 + 2n2

Combine like terms: -2n2 + 2n2 = 0
72fmor + 2m + 0 = 0 + 2n2
72fmor + 2m = 0 + 2n2
Remove the zero:
72fmor + 2m = 2n2

Combine like terms: 2n2 + -2n2 = 0
72fmor + 2m + -2n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(36fmor + m + -1n2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(36fmor + m + -1n2)' equal to zero and attempt to solve: Simplifying 36fmor + m + -1n2 = 0 Solving 36fmor + m + -1n2 = 0 Move all terms containing m to the left, all other terms to the right. Add 'n2' to each side of the equation. 36fmor + m + -1n2 + n2 = 0 + n2 Combine like terms: -1n2 + n2 = 0 36fmor + m + 0 = 0 + n2 36fmor + m = 0 + n2 Remove the zero: 36fmor + m = n2 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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