((5x+3-2)*27x)*5=23x-4

Solution for ((5x+3-2)*27x)*5=23x-4 equation:

Simplifying
((5x + 3 + -2) * 27x) * 5 = 23x + -4

Reorder the terms:
((3 + -2 + 5x) * 27x) * 5 = 23x + -4

Combine like terms: 3 + -2 = 1
((1 + 5x) * 27x) * 5 = 23x + -4

Reorder the terms for easier multiplication:
(27x(1 + 5x)) * 5 = 23x + -4
((1 * 27x + 5x * 27x)) * 5 = 23x + -4
((27x + 135x2)) * 5 = 23x + -4

Reorder the terms for easier multiplication:
5(27x + 135x2) = 23x + -4
(27x * 5 + 135x2 * 5) = 23x + -4
(135x + 675x2) = 23x + -4

Reorder the terms:
135x + 675x2 = -4 + 23x

Solving
135x + 675x2 = -4 + 23x

Solving for variable 'x'.

Reorder the terms:
4 + 135x + -23x + 675x2 = -4 + 23x + 4 + -23x

Combine like terms: 135x + -23x = 112x
4 + 112x + 675x2 = -4 + 23x + 4 + -23x

Reorder the terms:
4 + 112x + 675x2 = -4 + 4 + 23x + -23x

Combine like terms: -4 + 4 = 0
4 + 112x + 675x2 = 0 + 23x + -23x
4 + 112x + 675x2 = 23x + -23x

Combine like terms: 23x + -23x = 0
4 + 112x + 675x2 = 0

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

Divide each side by '675'.
0.005925925926 + 0.1659259259x + x2 = 0

Move the constant term to the right:

Add '-0.005925925926' to each side of the equation.
0.005925925926 + 0.1659259259x + -0.005925925926 + x2 = 0 + -0.005925925926

Reorder the terms:
0.005925925926 + -0.005925925926 + 0.1659259259x + x2 = 0 + -0.005925925926

Combine like terms: 0.005925925926 + -0.005925925926 = 0.000000000000
0.000000000000 + 0.1659259259x + x2 = 0 + -0.005925925926
0.1659259259x + x2 = 0 + -0.005925925926

Combine like terms: 0 + -0.005925925926 = -0.005925925926
0.1659259259x + x2 = -0.005925925926

The x term is 0.1659259259x.  Take half its coefficient (0.08296296295).
Square it (0.006882853221) and add it to both sides.

Add '0.006882853221' to each side of the equation.
0.1659259259x + 0.006882853221 + x2 = -0.005925925926 + 0.006882853221

Reorder the terms:
0.006882853221 + 0.1659259259x + x2 = -0.005925925926 + 0.006882853221

Combine like terms: -0.005925925926 + 0.006882853221 = 0.000956927295
0.006882853221 + 0.1659259259x + x2 = 0.000956927295

Factor a perfect square on the left side:
(x + 0.08296296295)(x + 0.08296296295) = 0.000956927295

Calculate the square root of the right side: 0.030934241

Break this problem into two subproblems by setting 
(x + 0.08296296295) equal to 0.030934241 and -0.030934241.

Subproblem 1
x + 0.08296296295 = 0.030934241

Simplifying
x + 0.08296296295 = 0.030934241

Reorder the terms:
0.08296296295 + x = 0.030934241

Solving
0.08296296295 + x = 0.030934241

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.08296296295' to each side of the equation.
0.08296296295 + -0.08296296295 + x = 0.030934241 + -0.08296296295

Combine like terms: 0.08296296295 + -0.08296296295 = 0.00000000000
0.00000000000 + x = 0.030934241 + -0.08296296295
x = 0.030934241 + -0.08296296295

Combine like terms: 0.030934241 + -0.08296296295 = -0.05202872195
x = -0.05202872195

Simplifying
x = -0.05202872195

Subproblem 2
x + 0.08296296295 = -0.030934241

Simplifying
x + 0.08296296295 = -0.030934241

Reorder the terms:
0.08296296295 + x = -0.030934241

Solving
0.08296296295 + x = -0.030934241

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.08296296295' to each side of the equation.
0.08296296295 + -0.08296296295 + x = -0.030934241 + -0.08296296295

Combine like terms: 0.08296296295 + -0.08296296295 = 0.00000000000
0.00000000000 + x = -0.030934241 + -0.08296296295
x = -0.030934241 + -0.08296296295

Combine like terms: -0.030934241 + -0.08296296295 = -0.11389720395
x = -0.11389720395

Simplifying
x = -0.11389720395

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.05202872195, -0.11389720395}