mx(x-m)+nx(n+x)=0

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Solution for mx(x-m)+nx(n+x)=0 equation:


Simplifying
mx(x + -1m) + nx(n + x) = 0

Reorder the terms:
mx(-1m + x) + nx(n + x) = 0
(-1m * mx + x * mx) + nx(n + x) = 0

Reorder the terms:
(mx2 + -1m2x) + nx(n + x) = 0
(mx2 + -1m2x) + nx(n + x) = 0
mx2 + -1m2x + (n * nx + x * nx) = 0

Reorder the terms:
mx2 + -1m2x + (nx2 + n2x) = 0
mx2 + -1m2x + (nx2 + n2x) = 0

Solving
mx2 + -1m2x + nx2 + n2x = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(mx + -1m2 + nx + n2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(mx + -1m2 + nx + n2)' equal to zero and attempt to solve: Simplifying mx + -1m2 + nx + n2 = 0 Solving mx + -1m2 + nx + n2 = 0 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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