0=(3X^2)-18X+43

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Solution for 0=(3X^2)-18X+43 equation: 


Simplifying
0 = (3X2) + -18X + 43

Reorder the terms:
0 = 43 + -18X + (3X2)

Solving
0 = 43 + -18X + (3X2)

Solving for variable 'X'.

Combine like terms: 0 + -43 = -43
-43 + 18X + (-3X2) = 43 + -18X + (3X2) + -43 + 18X + (-3X2)

Reorder the terms:
-43 + 18X + (-3X2) = 43 + -43 + -18X + 18X + (3X2) + (-3X2)

Combine like terms: 43 + -43 = 0
-43 + 18X + (-3X2) = 0 + -18X + 18X + (3X2) + (-3X2)
-43 + 18X + (-3X2) = -18X + 18X + (3X2) + (-3X2)

Combine like terms: -18X + 18X = 0
-43 + 18X + (-3X2) = 0 + (3X2) + (-3X2)
-43 + 18X + (-3X2) = (3X2) + (-3X2)

Combine like terms: (3X2) + (-3X2) = 0
-43 + 18X + (-3X2) = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
14.33333333 + -6X + X2 = 0

Move the constant term to the right:

Add '-14.33333333' to each side of the equation.
14.33333333 + -6X + -14.33333333 + X2 = 0 + -14.33333333

Reorder the terms:
14.33333333 + -14.33333333 + -6X + X2 = 0 + -14.33333333

Combine like terms: 14.33333333 + -14.33333333 = 0.00000000
0.00000000 + -6X + X2 = 0 + -14.33333333
-6X + X2 = 0 + -14.33333333

Combine like terms: 0 + -14.33333333 = -14.33333333
-6X + X2 = -14.33333333

The X term is -6X.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6X + 9 + X2 = -14.33333333 + 9

Reorder the terms:
9 + -6X + X2 = -14.33333333 + 9

Combine like terms: -14.33333333 + 9 = -5.33333333
9 + -6X + X2 = -5.33333333

Factor a perfect square on the left side:
((X) + -3)((X) + -3) = -5.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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