3.4+1.1x-54.5=0.4x(x-13)

Solution for 3.4+1.1x-54.5=0.4x(x-13) equation:

Simplifying
3.4 + 1.1x + -54.5 = 0.4x(x + -13)

Reorder the terms:
3.4 + -54.5 + 1.1x = 0.4x(x + -13)

Combine like terms: 3.4 + -54.5 = -51.1
-51.1 + 1.1x = 0.4x(x + -13)

Reorder the terms:
-51.1 + 1.1x = 0.4x(-13 + x)
-51.1 + 1.1x = (-13 * 0.4x + x * 0.4x)
-51.1 + 1.1x = (-5.2x + 0.4x2)

Solving
-51.1 + 1.1x = -5.2x + 0.4x2

Solving for variable 'x'.

Combine like terms: 1.1x + 5.2x = 6.3x
-51.1 + 6.3x + -0.4x2 = -5.2x + 0.4x2 + 5.2x + -0.4x2

Reorder the terms:
-51.1 + 6.3x + -0.4x2 = -5.2x + 5.2x + 0.4x2 + -0.4x2

Combine like terms: -5.2x + 5.2x = 0.0
-51.1 + 6.3x + -0.4x2 = 0.0 + 0.4x2 + -0.4x2
-51.1 + 6.3x + -0.4x2 = 0.4x2 + -0.4x2

Combine like terms: 0.4x2 + -0.4x2 = 0.0
-51.1 + 6.3x + -0.4x2 = 0.0

Begin completing the square.  Divide all terms by
-0.4 the coefficient of the squared term: 

Divide each side by '-0.4'.
127.75 + -15.75x + x2 = 0

Move the constant term to the right:

Add '-127.75' to each side of the equation.
127.75 + -15.75x + -127.75 + x2 = 0 + -127.75

Reorder the terms:
127.75 + -127.75 + -15.75x + x2 = 0 + -127.75

Combine like terms: 127.75 + -127.75 = 0.00
0.00 + -15.75x + x2 = 0 + -127.75
-15.75x + x2 = 0 + -127.75

Combine like terms: 0 + -127.75 = -127.75
-15.75x + x2 = -127.75

The x term is -15.75x.  Take half its coefficient (-7.875).
Square it (62.015625) and add it to both sides.

Add '62.015625' to each side of the equation.
-15.75x + 62.015625 + x2 = -127.75 + 62.015625

Reorder the terms:
62.015625 + -15.75x + x2 = -127.75 + 62.015625

Combine like terms: -127.75 + 62.015625 = -65.734375
62.015625 + -15.75x + x2 = -65.734375

Factor a perfect square on the left side:
(x + -7.875)(x + -7.875) = -65.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.