5x(4x+3)=4x-45

Solution for 5x(4x+3)=4x-45 equation:

Simplifying
5x(4x + 3) = 4x + -45

Reorder the terms:
5x(3 + 4x) = 4x + -45
(3 * 5x + 4x * 5x) = 4x + -45
(15x + 20x2) = 4x + -45

Reorder the terms:
15x + 20x2 = -45 + 4x

Solving
15x + 20x2 = -45 + 4x

Solving for variable 'x'.

Reorder the terms:
45 + 15x + -4x + 20x2 = -45 + 4x + 45 + -4x

Combine like terms: 15x + -4x = 11x
45 + 11x + 20x2 = -45 + 4x + 45 + -4x

Reorder the terms:
45 + 11x + 20x2 = -45 + 45 + 4x + -4x

Combine like terms: -45 + 45 = 0
45 + 11x + 20x2 = 0 + 4x + -4x
45 + 11x + 20x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
45 + 11x + 20x2 = 0

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

Divide each side by '20'.
2.25 + 0.55x + x2 = 0.0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 0.55x + -2.25 + x2 = 0.0 + -2.25

Reorder the terms:
2.25 + -2.25 + 0.55x + x2 = 0.0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 0.55x + x2 = 0.0 + -2.25
0.55x + x2 = 0.0 + -2.25

Combine like terms: 0.0 + -2.25 = -2.25
0.55x + x2 = -2.25

The x term is 0.55x.  Take half its coefficient (0.275).
Square it (0.075625) and add it to both sides.

Add '0.075625' to each side of the equation.
0.55x + 0.075625 + x2 = -2.25 + 0.075625

Reorder the terms:
0.075625 + 0.55x + x2 = -2.25 + 0.075625

Combine like terms: -2.25 + 0.075625 = -2.174375
0.075625 + 0.55x + x2 = -2.174375

Factor a perfect square on the left side:
(x + 0.275)(x + 0.275) = -2.174375

Can't calculate square root of the right side.

The solution to this equation could not be determined.