3+x*(x-5*(2x+8)-8x)+23=x-32*(34+x*(5x-12)+12x)-65

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Solution for 3+x*(x-5*(2x+8)-8x)+23=x-32*(34+x*(5x-12)+12x)-65 equation: 


Simplifying
3 + x(x + -5(2x + 8) + -8x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65

Reorder the terms:
3 + x(x + -5(8 + 2x) + -8x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65
3 + x(x + (8 * -5 + 2x * -5) + -8x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65
3 + x(x + (-40 + -10x) + -8x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65

Reorder the terms:
3 + x(-40 + x + -10x + -8x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65

Combine like terms: x + -10x = -9x
3 + x(-40 + -9x + -8x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65

Combine like terms: -9x + -8x = -17x
3 + x(-40 + -17x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65
3 + (-40 * x + -17x * x) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65
3 + (-40x + -17x2) + 23 = x + -32(34 + x(5x + -12) + 12x) + -65

Reorder the terms:
3 + 23 + -40x + -17x2 = x + -32(34 + x(5x + -12) + 12x) + -65

Combine like terms: 3 + 23 = 26
26 + -40x + -17x2 = x + -32(34 + x(5x + -12) + 12x) + -65

Reorder the terms:
26 + -40x + -17x2 = x + -32(34 + x(-12 + 5x) + 12x) + -65
26 + -40x + -17x2 = x + -32(34 + (-12 * x + 5x * x) + 12x) + -65
26 + -40x + -17x2 = x + -32(34 + (-12x + 5x2) + 12x) + -65

Reorder the terms:
26 + -40x + -17x2 = x + -32(34 + -12x + 12x + 5x2) + -65

Combine like terms: -12x + 12x = 0
26 + -40x + -17x2 = x + -32(34 + 0 + 5x2) + -65
26 + -40x + -17x2 = x + -32(34 + 5x2) + -65
26 + -40x + -17x2 = x + (34 * -32 + 5x2 * -32) + -65
26 + -40x + -17x2 = x + (-1088 + -160x2) + -65

Reorder the terms:
26 + -40x + -17x2 = -1088 + -65 + x + -160x2

Combine like terms: -1088 + -65 = -1153
26 + -40x + -17x2 = -1153 + x + -160x2

Solving
26 + -40x + -17x2 = -1153 + x + -160x2

Solving for variable 'x'.

Reorder the terms:
26 + 1153 + -40x + -1x + -17x2 + 160x2 = -1153 + x + -160x2 + 1153 + -1x + 160x2

Combine like terms: 26 + 1153 = 1179
1179 + -40x + -1x + -17x2 + 160x2 = -1153 + x + -160x2 + 1153 + -1x + 160x2

Combine like terms: -40x + -1x = -41x
1179 + -41x + -17x2 + 160x2 = -1153 + x + -160x2 + 1153 + -1x + 160x2

Combine like terms: -17x2 + 160x2 = 143x2
1179 + -41x + 143x2 = -1153 + x + -160x2 + 1153 + -1x + 160x2

Reorder the terms:
1179 + -41x + 143x2 = -1153 + 1153 + x + -1x + -160x2 + 160x2

Combine like terms: -1153 + 1153 = 0
1179 + -41x + 143x2 = 0 + x + -1x + -160x2 + 160x2
1179 + -41x + 143x2 = x + -1x + -160x2 + 160x2

Combine like terms: x + -1x = 0
1179 + -41x + 143x2 = 0 + -160x2 + 160x2
1179 + -41x + 143x2 = -160x2 + 160x2

Combine like terms: -160x2 + 160x2 = 0
1179 + -41x + 143x2 = 0

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

Divide each side by '143'.
8.244755245 + -0.2867132867x + x2 = 0

Move the constant term to the right:

Add '-8.244755245' to each side of the equation.
8.244755245 + -0.2867132867x + -8.244755245 + x2 = 0 + -8.244755245

Reorder the terms:
8.244755245 + -8.244755245 + -0.2867132867x + x2 = 0 + -8.244755245

Combine like terms: 8.244755245 + -8.244755245 = 0.000000000
0.000000000 + -0.2867132867x + x2 = 0 + -8.244755245
-0.2867132867x + x2 = 0 + -8.244755245

Combine like terms: 0 + -8.244755245 = -8.244755245
-0.2867132867x + x2 = -8.244755245

The x term is -0.2867132867x.  Take half its coefficient (-0.1433566434).
Square it (0.02055112721) and add it to both sides.

Add '0.02055112721' to each side of the equation.
-0.2867132867x + 0.02055112721 + x2 = -8.244755245 + 0.02055112721

Reorder the terms:
0.02055112721 + -0.2867132867x + x2 = -8.244755245 + 0.02055112721

Combine like terms: -8.244755245 + 0.02055112721 = -8.22420411779
0.02055112721 + -0.2867132867x + x2 = -8.22420411779

Factor a perfect square on the left side:
(x + -0.1433566434)(x + -0.1433566434) = -8.22420411779

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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