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Simplifying 2mn + -2mt + 2sn + -2st = 0 Solving 2mn + -2mt + 2ns + -2st = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2ns' to each side of the equation. 2mn + -2mt + 2ns + -2ns + -2st = 0 + -2ns Combine like terms: 2ns + -2ns = 0 2mn + -2mt + 0 + -2st = 0 + -2ns 2mn + -2mt + -2st = 0 + -2ns Remove the zero: 2mn + -2mt + -2st = -2ns Add '2st' to each side of the equation. 2mn + -2mt + -2st + 2st = -2ns + 2st Combine like terms: -2st + 2st = 0 2mn + -2mt + 0 = -2ns + 2st 2mn + -2mt = -2ns + 2st Reorder the terms: 2mn + -2mt + 2ns + -2st = -2ns + 2ns + 2st + -2st Combine like terms: -2ns + 2ns = 0 2mn + -2mt + 2ns + -2st = 0 + 2st + -2st 2mn + -2mt + 2ns + -2st = 2st + -2st Combine like terms: 2st + -2st = 0 2mn + -2mt + 2ns + -2st = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(mn + -1mt + ns + -1st) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(mn + -1mt + ns + -1st)' equal to zero and attempt to solve: Simplifying mn + -1mt + ns + -1st = 0 Solving mn + -1mt + ns + -1st = 0 Move all terms containing m to the left, all other terms to the right. Add '-1ns' to each side of the equation. mn + -1mt + ns + -1ns + -1st = 0 + -1ns Combine like terms: ns + -1ns = 0 mn + -1mt + 0 + -1st = 0 + -1ns mn + -1mt + -1st = 0 + -1ns Remove the zero: mn + -1mt + -1st = -1ns Add 'st' to each side of the equation. mn + -1mt + -1st + st = -1ns + st Combine like terms: -1st + st = 0 mn + -1mt + 0 = -1ns + st mn + -1mt = -1ns + st 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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