-x-(13+4x)=-3x(5-9x)+2

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Solution for -x-(13+4x)=-3x(5-9x)+2 equation:


Simplifying
-1x + -1(13 + 4x) = -3x(5 + -9x) + 2
-1x + (13 * -1 + 4x * -1) = -3x(5 + -9x) + 2
-1x + (-13 + -4x) = -3x(5 + -9x) + 2

Reorder the terms:
-13 + -1x + -4x = -3x(5 + -9x) + 2

Combine like terms: -1x + -4x = -5x
-13 + -5x = -3x(5 + -9x) + 2
-13 + -5x = (5 * -3x + -9x * -3x) + 2
-13 + -5x = (-15x + 27x2) + 2

Reorder the terms:
-13 + -5x = 2 + -15x + 27x2

Solving
-13 + -5x = 2 + -15x + 27x2

Solving for variable 'x'.

Reorder the terms:
-13 + -2 + -5x + 15x + -27x2 = 2 + -15x + 27x2 + -2 + 15x + -27x2

Combine like terms: -13 + -2 = -15
-15 + -5x + 15x + -27x2 = 2 + -15x + 27x2 + -2 + 15x + -27x2

Combine like terms: -5x + 15x = 10x
-15 + 10x + -27x2 = 2 + -15x + 27x2 + -2 + 15x + -27x2

Reorder the terms:
-15 + 10x + -27x2 = 2 + -2 + -15x + 15x + 27x2 + -27x2

Combine like terms: 2 + -2 = 0
-15 + 10x + -27x2 = 0 + -15x + 15x + 27x2 + -27x2
-15 + 10x + -27x2 = -15x + 15x + 27x2 + -27x2

Combine like terms: -15x + 15x = 0
-15 + 10x + -27x2 = 0 + 27x2 + -27x2
-15 + 10x + -27x2 = 27x2 + -27x2

Combine like terms: 27x2 + -27x2 = 0
-15 + 10x + -27x2 = 0

Begin completing the square.  Divide all terms by
-27 the coefficient of the squared term: 

Divide each side by '-27'.
0.5555555556 + -0.3703703704x + x2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + -0.3703703704x + -0.5555555556 + x2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + -0.3703703704x + x2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + -0.3703703704x + x2 = 0 + -0.5555555556
-0.3703703704x + x2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
-0.3703703704x + x2 = -0.5555555556

The x term is -0.3703703704x.  Take half its coefficient (-0.1851851852).
Square it (0.03429355282) and add it to both sides.

Add '0.03429355282' to each side of the equation.
-0.3703703704x + 0.03429355282 + x2 = -0.5555555556 + 0.03429355282

Reorder the terms:
0.03429355282 + -0.3703703704x + x2 = -0.5555555556 + 0.03429355282

Combine like terms: -0.5555555556 + 0.03429355282 = -0.52126200278
0.03429355282 + -0.3703703704x + x2 = -0.52126200278

Factor a perfect square on the left side:
(x + -0.1851851852)(x + -0.1851851852) = -0.52126200278

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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