7n-(-5n+8)(3n-2)=

Solution for 7n-(-5n+8)(3n-2)= equation:

Simplifying
7n + -1(-5n + 8)(3n + -2) = 0

Reorder the terms:
7n + -1(8 + -5n)(3n + -2) = 0

Reorder the terms:
7n + -1(8 + -5n)(-2 + 3n) = 0

Multiply (8 + -5n) * (-2 + 3n)
7n + -1(8(-2 + 3n) + -5n * (-2 + 3n)) = 0
7n + -1((-2 * 8 + 3n * 8) + -5n * (-2 + 3n)) = 0
7n + -1((-16 + 24n) + -5n * (-2 + 3n)) = 0
7n + -1(-16 + 24n + (-2 * -5n + 3n * -5n)) = 0
7n + -1(-16 + 24n + (10n + -15n2)) = 0

Combine like terms: 24n + 10n = 34n
7n + -1(-16 + 34n + -15n2) = 0
7n + (-16 * -1 + 34n * -1 + -15n2 * -1) = 0
7n + (16 + -34n + 15n2) = 0

Reorder the terms:
16 + 7n + -34n + 15n2 = 0

Combine like terms: 7n + -34n = -27n
16 + -27n + 15n2 = 0

Solving
16 + -27n + 15n2 = 0

Solving for variable 'n'.

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

Divide each side by '15'.
1.066666667 + -1.8n + n2 = 0

Move the constant term to the right:

Add '-1.066666667' to each side of the equation.
1.066666667 + -1.8n + -1.066666667 + n2 = 0 + -1.066666667

Reorder the terms:
1.066666667 + -1.066666667 + -1.8n + n2 = 0 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
0.000000000 + -1.8n + n2 = 0 + -1.066666667
-1.8n + n2 = 0 + -1.066666667

Combine like terms: 0 + -1.066666667 = -1.066666667
-1.8n + n2 = -1.066666667

The n term is -1.8n.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8n + 0.81 + n2 = -1.066666667 + 0.81

Reorder the terms:
0.81 + -1.8n + n2 = -1.066666667 + 0.81

Combine like terms: -1.066666667 + 0.81 = -0.256666667
0.81 + -1.8n + n2 = -0.256666667

Factor a perfect square on the left side:
(n + -0.9)(n + -0.9) = -0.256666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.