0=3x^2-14x+20

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Solution for 0=3x^2-14x+20 equation: 


Simplifying
0 = 3x2 + -14x + 20

Reorder the terms:
0 = 20 + -14x + 3x2

Solving
0 = 20 + -14x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 14x + -3x2 = 20 + -14x + 3x2 + -20 + 14x + -3x2

Reorder the terms:
-20 + 14x + -3x2 = 20 + -20 + -14x + 14x + 3x2 + -3x2

Combine like terms: 20 + -20 = 0
-20 + 14x + -3x2 = 0 + -14x + 14x + 3x2 + -3x2
-20 + 14x + -3x2 = -14x + 14x + 3x2 + -3x2

Combine like terms: -14x + 14x = 0
-20 + 14x + -3x2 = 0 + 3x2 + -3x2
-20 + 14x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + 14x + -3x2 = 0

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

Divide each side by '-3'.
6.666666667 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -4.666666667x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -4.666666667x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -4.666666667x + x2 = 0 + -6.666666667
-4.666666667x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-4.666666667x + x2 = -6.666666667

The x term is -4.666666667x.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667x + 5.444444448 + x2 = -6.666666667 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -6.666666667 + 5.444444448

Combine like terms: -6.666666667 + 5.444444448 = -1.222222219
5.444444448 + -4.666666667x + x2 = -1.222222219

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = -1.222222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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