3x^2-14x+30=0

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Solution for 3x^2-14x+30=0 equation:


Simplifying
3x2 + -14x + 30 = 0

Reorder the terms:
30 + -14x + 3x2 = 0

Solving
30 + -14x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
10 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -4.666666667x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -4.666666667x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4.666666667x + x2 = 0 + -10
-4.666666667x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-4.666666667x + x2 = -10

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 = -10 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -10 + 5.444444448

Combine like terms: -10 + 5.444444448 = -4.555555552
5.444444448 + -4.666666667x + x2 = -4.555555552

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = -4.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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