m^2+8mn-20n^2=0

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Solution for m^2+8mn-20n^2=0 equation:


Simplifying
m2 + 8mn + -20n2 = 0

Reorder the terms:
8mn + m2 + -20n2 = 0

Solving
8mn + m2 + -20n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -2n)(m + 10n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(m + 10n)' equal to zero and attempt to solve: Simplifying m + 10n = 0 Solving m + 10n = 0 Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 m + 0 = 0 + -10n m = 0 + -10n Remove the zero: m = -10n Simplifying m = -10n

Solution

m = {2n, -10n}

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