4(x-2)[x]2-x(4x-13)=-5

Solution for 4(x-2)[x]2-x(4x-13)=-5 equation:

Simplifying
4(x + -2)[x] * 2 + -1x(4x + -13) = -5

Reorder the terms:
4(-2 + x)[x] * 2 + -1x(4x + -13) = -5

Reorder the terms for easier multiplication:
4 * 2x(-2 + x) + -1x(4x + -13) = -5

Multiply 4 * 2
8x(-2 + x) + -1x(4x + -13) = -5
(-2 * 8x + x * 8x) + -1x(4x + -13) = -5
(-16x + 8x2) + -1x(4x + -13) = -5

Reorder the terms:
-16x + 8x2 + -1x(-13 + 4x) = -5
-16x + 8x2 + (-13 * -1x + 4x * -1x) = -5
-16x + 8x2 + (13x + -4x2) = -5

Reorder the terms:
-16x + 13x + 8x2 + -4x2 = -5

Combine like terms: -16x + 13x = -3x
-3x + 8x2 + -4x2 = -5

Combine like terms: 8x2 + -4x2 = 4x2
-3x + 4x2 = -5

Solving
-3x + 4x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + -3x + 4x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -3x + 4x2 = 0

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

Divide each side by '4'.
1.25 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.75x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.75x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.75x + x2 = 0 + -1.25
-0.75x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.75x + x2 = -1.25

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -1.25 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -1.25 + 0.140625

Combine like terms: -1.25 + 0.140625 = -1.109375
0.140625 + -0.75x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.