3x(-3x+1)=5

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Solution for 3x(-3x+1)=5 equation: 


Simplifying
3x(-3x + 1) = 5

Reorder the terms:
3x(1 + -3x) = 5
(1 * 3x + -3x * 3x) = 5
(3x + -9x2) = 5

Solving
3x + -9x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 3x + -9x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 3x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.5555555556 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + -0.3333333333x + -0.5555555556 + x2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + -0.3333333333x + x2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.5555555556
-0.3333333333x + x2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
-0.3333333333x + x2 = -0.5555555556

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.5555555556 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.5555555556 + 0.02777777779

Combine like terms: -0.5555555556 + 0.02777777779 = -0.52777777781
0.02777777779 + -0.3333333333x + x2 = -0.52777777781

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.52777777781

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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