5x(4x+6)=(2x-23)

Solution for 5x(4x+6)=(2x-23) equation:

Simplifying
5x(4x + 6) = (2x + -23)

Reorder the terms:
5x(6 + 4x) = (2x + -23)
(6 * 5x + 4x * 5x) = (2x + -23)
(30x + 20x2) = (2x + -23)

Reorder the terms:
30x + 20x2 = (-23 + 2x)

Remove parenthesis around (-23 + 2x)
30x + 20x2 = -23 + 2x

Solving
30x + 20x2 = -23 + 2x

Solving for variable 'x'.

Reorder the terms:
23 + 30x + -2x + 20x2 = -23 + 2x + 23 + -2x

Combine like terms: 30x + -2x = 28x
23 + 28x + 20x2 = -23 + 2x + 23 + -2x

Reorder the terms:
23 + 28x + 20x2 = -23 + 23 + 2x + -2x

Combine like terms: -23 + 23 = 0
23 + 28x + 20x2 = 0 + 2x + -2x
23 + 28x + 20x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
23 + 28x + 20x2 = 0

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

Divide each side by '20'.
1.15 + 1.4x + x2 = 0.0

Move the constant term to the right:

Add '-1.15' to each side of the equation.
1.15 + 1.4x + -1.15 + x2 = 0.0 + -1.15

Reorder the terms:
1.15 + -1.15 + 1.4x + x2 = 0.0 + -1.15

Combine like terms: 1.15 + -1.15 = 0.00
0.00 + 1.4x + x2 = 0.0 + -1.15
1.4x + x2 = 0.0 + -1.15

Combine like terms: 0.0 + -1.15 = -1.15
1.4x + x2 = -1.15

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 = -1.15 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -1.15 + 0.49

Combine like terms: -1.15 + 0.49 = -0.66
0.49 + 1.4x + x2 = -0.66

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -0.66

Can't calculate square root of the right side.

The solution to this equation could not be determined.