5x(x+2)-3(x-1)=-27

Solution for 5x(x+2)-3(x-1)=-27 equation:

Simplifying
5x(x + 2) + -3(x + -1) = -27

Reorder the terms:
5x(2 + x) + -3(x + -1) = -27
(2 * 5x + x * 5x) + -3(x + -1) = -27
(10x + 5x2) + -3(x + -1) = -27

Reorder the terms:
10x + 5x2 + -3(-1 + x) = -27
10x + 5x2 + (-1 * -3 + x * -3) = -27
10x + 5x2 + (3 + -3x) = -27

Reorder the terms:
3 + 10x + -3x + 5x2 = -27

Combine like terms: 10x + -3x = 7x
3 + 7x + 5x2 = -27

Solving
3 + 7x + 5x2 = -27

Solving for variable 'x'.

Reorder the terms:
3 + 27 + 7x + 5x2 = -27 + 27

Combine like terms: 3 + 27 = 30
30 + 7x + 5x2 = -27 + 27

Combine like terms: -27 + 27 = 0
30 + 7x + 5x2 = 0

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

Divide each side by '5'.
6 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 1.4x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 1.4x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1.4x + x2 = 0 + -6
1.4x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
1.4x + x2 = -6

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -6 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -6 + 0.49

Combine like terms: -6 + 0.49 = -5.51
0.49 + 1.4x + x2 = -5.51

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -5.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.