-104=-4n(-6-5n)

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Solution for -104=-4n(-6-5n) equation:


Simplifying
-104 = -4n(-6 + -5n)
-104 = (-6 * -4n + -5n * -4n)
-104 = (24n + 20n2)

Solving
-104 = 24n + 20n2

Solving for variable 'n'.

Reorder the terms:
-104 + -24n + -20n2 = 24n + -24n + 20n2 + -20n2

Combine like terms: 24n + -24n = 0
-104 + -24n + -20n2 = 0 + 20n2 + -20n2
-104 + -24n + -20n2 = 20n2 + -20n2

Combine like terms: 20n2 + -20n2 = 0
-104 + -24n + -20n2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(26 + 6n + 5n2) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(26 + 6n + 5n2)' equal to zero and attempt to solve: Simplifying 26 + 6n + 5n2 = 0 Solving 26 + 6n + 5n2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.2 + 1.2n + n2 = 0 Move the constant term to the right: Add '-5.2' to each side of the equation. 5.2 + 1.2n + -5.2 + n2 = 0 + -5.2 Reorder the terms: 5.2 + -5.2 + 1.2n + n2 = 0 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 1.2n + n2 = 0 + -5.2 1.2n + n2 = 0 + -5.2 Combine like terms: 0 + -5.2 = -5.2 1.2n + n2 = -5.2 The n term is 1.2n. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2n + 0.36 + n2 = -5.2 + 0.36 Reorder the terms: 0.36 + 1.2n + n2 = -5.2 + 0.36 Combine like terms: -5.2 + 0.36 = -4.84 0.36 + 1.2n + n2 = -4.84 Factor a perfect square on the left side: (n + 0.6)(n + 0.6) = -4.84 Can't calculate square root of the right side. 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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