3-9x^2+28x-30=0

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Solution for 3-9x^2+28x-30=0 equation:


Simplifying
3 + -9x2 + 28x + -30 = 0

Reorder the terms:
3 + -30 + 28x + -9x2 = 0

Combine like terms: 3 + -30 = -27
-27 + 28x + -9x2 = 0

Solving
-27 + 28x + -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'.
3 + -3.111111111x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3.111111111x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -3.111111111x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3.111111111x + x2 = 0 + -3
-3.111111111x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3.111111111x + x2 = -3

The x term is -3.111111111x.  Take half its coefficient (-1.555555556).
Square it (2.419753088) and add it to both sides.

Add '2.419753088' to each side of the equation.
-3.111111111x + 2.419753088 + x2 = -3 + 2.419753088

Reorder the terms:
2.419753088 + -3.111111111x + x2 = -3 + 2.419753088

Combine like terms: -3 + 2.419753088 = -0.580246912
2.419753088 + -3.111111111x + x2 = -0.580246912

Factor a perfect square on the left side:
(x + -1.555555556)(x + -1.555555556) = -0.580246912

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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