-5(n-6)=-4n(9n-6)

Solution for -5(n-6)=-4n(9n-6) equation:

Simplifying
-5(n + -6) = -4n(9n + -6)

Reorder the terms:
-5(-6 + n) = -4n(9n + -6)
(-6 * -5 + n * -5) = -4n(9n + -6)
(30 + -5n) = -4n(9n + -6)

Reorder the terms:
30 + -5n = -4n(-6 + 9n)
30 + -5n = (-6 * -4n + 9n * -4n)
30 + -5n = (24n + -36n2)

Solving
30 + -5n = 24n + -36n2

Solving for variable 'n'.

Combine like terms: -5n + -24n = -29n
30 + -29n + 36n2 = 24n + -36n2 + -24n + 36n2

Reorder the terms:
30 + -29n + 36n2 = 24n + -24n + -36n2 + 36n2

Combine like terms: 24n + -24n = 0
30 + -29n + 36n2 = 0 + -36n2 + 36n2
30 + -29n + 36n2 = -36n2 + 36n2

Combine like terms: -36n2 + 36n2 = 0
30 + -29n + 36n2 = 0

Begin completing the square.  Divide all terms by
36 the coefficient of the squared term: 

Divide each side by '36'.
0.8333333333 + -0.8055555556n + n2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.8055555556n + -0.8333333333 + n2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.8055555556n + n2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.8055555556n + n2 = 0 + -0.8333333333
-0.8055555556n + n2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.8055555556n + n2 = -0.8333333333

The n term is -0.8055555556n.  Take half its coefficient (-0.4027777778).
Square it (0.1622299383) and add it to both sides.

Add '0.1622299383' to each side of the equation.
-0.8055555556n + 0.1622299383 + n2 = -0.8333333333 + 0.1622299383

Reorder the terms:
0.1622299383 + -0.8055555556n + n2 = -0.8333333333 + 0.1622299383

Combine like terms: -0.8333333333 + 0.1622299383 = -0.671103395
0.1622299383 + -0.8055555556n + n2 = -0.671103395

Factor a perfect square on the left side:
(n + -0.4027777778)(n + -0.4027777778) = -0.671103395

Can't calculate square root of the right side.

The solution to this equation could not be determined.