3x(3x-3)+10=0

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Solution for 3x(3x-3)+10=0 equation:


Simplifying
3x(3x + -3) + 10 = 0

Reorder the terms:
3x(-3 + 3x) + 10 = 0
(-3 * 3x + 3x * 3x) + 10 = 0
(-9x + 9x2) + 10 = 0

Reorder the terms:
10 + -9x + 9x2 = 0

Solving
10 + -9x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
1.111111111 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.111111111' to each side of the equation.
1.111111111 + -1x + -1.111111111 + x2 = 0 + -1.111111111

Reorder the terms:
1.111111111 + -1.111111111 + -1x + x2 = 0 + -1.111111111

Combine like terms: 1.111111111 + -1.111111111 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.111111111
-1x + x2 = 0 + -1.111111111

Combine like terms: 0 + -1.111111111 = -1.111111111
-1x + x2 = -1.111111111

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.111111111 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.111111111 + 0.25

Combine like terms: -1.111111111 + 0.25 = -0.861111111
0.25 + -1x + x2 = -0.861111111

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.861111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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