3x(3x-10)=-50

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Solution for 3x(3x-10)=-50 equation: 


Simplifying
3x(3x + -10) = -50

Reorder the terms:
3x(-10 + 3x) = -50
(-10 * 3x + 3x * 3x) = -50
(-30x + 9x2) = -50

Solving
-30x + 9x2 = -50

Solving for variable 'x'.

Reorder the terms:
50 + -30x + 9x2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + -30x + 9x2 = 0

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

Divide each side by '9'.
5.555555556 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.555555556' to each side of the equation.
5.555555556 + -3.333333333x + -5.555555556 + x2 = 0 + -5.555555556

Reorder the terms:
5.555555556 + -5.555555556 + -3.333333333x + x2 = 0 + -5.555555556

Combine like terms: 5.555555556 + -5.555555556 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -5.555555556
-3.333333333x + x2 = 0 + -5.555555556

Combine like terms: 0 + -5.555555556 = -5.555555556
-3.333333333x + x2 = -5.555555556

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -5.555555556 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -5.555555556 + 2.777777779

Combine like terms: -5.555555556 + 2.777777779 = -2.777777777
2.777777779 + -3.333333333x + x2 = -2.777777777

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -2.777777777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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