-3n(4n+4)=9

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Solution for -3n(4n+4)=9 equation:


Simplifying
-3n(4n + 4) = 9

Reorder the terms:
-3n(4 + 4n) = 9
(4 * -3n + 4n * -3n) = 9
(-12n + -12n2) = 9

Solving
-12n + -12n2 = 9

Solving for variable 'n'.

Reorder the terms:
-9 + -12n + -12n2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -12n + -12n2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(3 + 4n + 4n2) = 0

Ignore the factor -3.

Subproblem 1

Set the factor '(3 + 4n + 4n2)' equal to zero and attempt to solve: Simplifying 3 + 4n + 4n2 = 0 Solving 3 + 4n + 4n2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + n + n2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + n + -0.75 + n2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + n + n2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + n + n2 = 0 + -0.75 n + n2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 n + n2 = -0.75 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + n2 = -0.75 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + n2 = -0.75 + 0.25 Combine like terms: -0.75 + 0.25 = -0.5 1.25 + n2 = -0.5 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -0.5 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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