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Simplifying (6s + 8mx2)(s + -1nx2) = 0 Reorder the terms: (8mx2 + 6s)(s + -1nx2) = 0 Reorder the terms: (8mx2 + 6s)(-1nx2 + s) = 0 Multiply (8mx2 + 6s) * (-1nx2 + s) (8mx2 * (-1nx2 + s) + 6s * (-1nx2 + s)) = 0 ((-1nx2 * 8mx2 + s * 8mx2) + 6s * (-1nx2 + s)) = 0 ((-8mnx4 + 8msx2) + 6s * (-1nx2 + s)) = 0 (-8mnx4 + 8msx2 + (-1nx2 * 6s + s * 6s)) = 0 (-8mnx4 + 8msx2 + (-6nsx2 + 6s2)) = 0 (-8mnx4 + 8msx2 + -6nsx2 + 6s2) = 0 Solving -8mnx4 + 8msx2 + -6nsx2 + 6s2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6nsx2' to each side of the equation. -8mnx4 + 8msx2 + -6nsx2 + 6nsx2 + 6s2 = 0 + 6nsx2 Combine like terms: -6nsx2 + 6nsx2 = 0 -8mnx4 + 8msx2 + 0 + 6s2 = 0 + 6nsx2 -8mnx4 + 8msx2 + 6s2 = 0 + 6nsx2 Remove the zero: -8mnx4 + 8msx2 + 6s2 = 6nsx2 Add '-6s2' to each side of the equation. -8mnx4 + 8msx2 + 6s2 + -6s2 = 6nsx2 + -6s2 Combine like terms: 6s2 + -6s2 = 0 -8mnx4 + 8msx2 + 0 = 6nsx2 + -6s2 -8mnx4 + 8msx2 = 6nsx2 + -6s2 Reorder the terms: -8mnx4 + 8msx2 + -6nsx2 + 6s2 = 6nsx2 + -6nsx2 + -6s2 + 6s2 Combine like terms: 6nsx2 + -6nsx2 = 0 -8mnx4 + 8msx2 + -6nsx2 + 6s2 = 0 + -6s2 + 6s2 -8mnx4 + 8msx2 + -6nsx2 + 6s2 = -6s2 + 6s2 Combine like terms: -6s2 + 6s2 = 0 -8mnx4 + 8msx2 + -6nsx2 + 6s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4mnx4 + 4msx2 + -3nsx2 + 3s2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4mnx4 + 4msx2 + -3nsx2 + 3s2)' equal to zero and attempt to solve: Simplifying -4mnx4 + 4msx2 + -3nsx2 + 3s2 = 0 Solving -4mnx4 + 4msx2 + -3nsx2 + 3s2 = 0 Move all terms containing m to the left, all other terms to the right. Add '3nsx2' to each side of the equation. -4mnx4 + 4msx2 + -3nsx2 + 3nsx2 + 3s2 = 0 + 3nsx2 Combine like terms: -3nsx2 + 3nsx2 = 0 -4mnx4 + 4msx2 + 0 + 3s2 = 0 + 3nsx2 -4mnx4 + 4msx2 + 3s2 = 0 + 3nsx2 Remove the zero: -4mnx4 + 4msx2 + 3s2 = 3nsx2 Add '-3s2' to each side of the equation. -4mnx4 + 4msx2 + 3s2 + -3s2 = 3nsx2 + -3s2 Combine like terms: 3s2 + -3s2 = 0 -4mnx4 + 4msx2 + 0 = 3nsx2 + -3s2 -4mnx4 + 4msx2 = 3nsx2 + -3s2 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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