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Simplifying sqrt(n)(4 + 6n) = 0 Multiply qrst * n nqrst(4 + 6n) = 0 (4 * nqrst + 6n * nqrst) = 0 (4nqrst + 6n2qrst) = 0 Solving 4nqrst + 6n2qrst = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2nqrst'. 2nqrst(2 + 3n) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'nqrst' equal to zero and attempt to solve: Simplifying nqrst = 0 Solving nqrst = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nqrst = 0 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 '(2 + 3n)' equal to zero and attempt to solve: Simplifying 2 + 3n = 0 Solving 2 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 0 + -2 3n = 0 + -2 Combine like terms: 0 + -2 = -2 3n = -2 Divide each side by '3'. n = -0.6666666667 Simplifying n = -0.6666666667Solution
n = {-0.6666666667}
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