0.11(x-27)0.33(x+3)=x-59

Solution for 0.11(x-27)0.33(x+3)=x-59 equation:

Simplifying
0.11(x + -27) * 0.33(x + 3) = x + -59

Reorder the terms:
0.11(-27 + x) * 0.33(x + 3) = x + -59

Reorder the terms:
0.11(-27 + x) * 0.33(3 + x) = x + -59

Reorder the terms for easier multiplication:
0.11 * 0.33(-27 + x)(3 + x) = x + -59

Multiply 0.11 * 0.33
0.0363(-27 + x)(3 + x) = x + -59

Multiply (-27 + x) * (3 + x)
0.0363(-27(3 + x) + x(3 + x)) = x + -59
0.0363((3 * -27 + x * -27) + x(3 + x)) = x + -59
0.0363((-81 + -27x) + x(3 + x)) = x + -59
0.0363(-81 + -27x + (3 * x + x * x)) = x + -59
0.0363(-81 + -27x + (3x + x2)) = x + -59

Combine like terms: -27x + 3x = -24x
0.0363(-81 + -24x + x2) = x + -59
(-81 * 0.0363 + -24x * 0.0363 + x2 * 0.0363) = x + -59
(-2.9403 + -0.8712x + 0.0363x2) = x + -59

Reorder the terms:
-2.9403 + -0.8712x + 0.0363x2 = -59 + x

Solving
-2.9403 + -0.8712x + 0.0363x2 = -59 + x

Solving for variable 'x'.

Reorder the terms:
-2.9403 + 59 + -0.8712x + -1x + 0.0363x2 = -59 + x + 59 + -1x

Combine like terms: -2.9403 + 59 = 56.0597
56.0597 + -0.8712x + -1x + 0.0363x2 = -59 + x + 59 + -1x

Combine like terms: -0.8712x + -1x = -1.8712x
56.0597 + -1.8712x + 0.0363x2 = -59 + x + 59 + -1x

Reorder the terms:
56.0597 + -1.8712x + 0.0363x2 = -59 + 59 + x + -1x

Combine like terms: -59 + 59 = 0
56.0597 + -1.8712x + 0.0363x2 = 0 + x + -1x
56.0597 + -1.8712x + 0.0363x2 = x + -1x

Combine like terms: x + -1x = 0
56.0597 + -1.8712x + 0.0363x2 = 0

Begin completing the square.  Divide all terms by
0.0363 the coefficient of the squared term: 

Divide each side by '0.0363'.
1544.344353 + -51.54820937x + x2 = 0

Move the constant term to the right:

Add '-1544.344353' to each side of the equation.
1544.344353 + -51.54820937x + -1544.344353 + x2 = 0 + -1544.344353

Reorder the terms:
1544.344353 + -1544.344353 + -51.54820937x + x2 = 0 + -1544.344353

Combine like terms: 1544.344353 + -1544.344353 = 0.000000
0.000000 + -51.54820937x + x2 = 0 + -1544.344353
-51.54820937x + x2 = 0 + -1544.344353

Combine like terms: 0 + -1544.344353 = -1544.344353
-51.54820937x + x2 = -1544.344353

The x term is -51.54820937x.  Take half its coefficient (-25.77410469).
Square it (664.3044726) and add it to both sides.

Add '664.3044726' to each side of the equation.
-51.54820937x + 664.3044726 + x2 = -1544.344353 + 664.3044726

Reorder the terms:
664.3044726 + -51.54820937x + x2 = -1544.344353 + 664.3044726

Combine like terms: -1544.344353 + 664.3044726 = -880.0398804
664.3044726 + -51.54820937x + x2 = -880.0398804

Factor a perfect square on the left side:
(x + -25.77410469)(x + -25.77410469) = -880.0398804

Can't calculate square root of the right side.

The solution to this equation could not be determined.