3x^2-28x+252=0

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Solution for 3x^2-28x+252=0 equation:


Simplifying
3x2 + -28x + 252 = 0

Reorder the terms:
252 + -28x + 3x2 = 0

Solving
252 + -28x + 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'.
84 + -9.333333333x + x2 = 0

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -9.333333333x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + -9.333333333x + x2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -9.333333333x + x2 = 0 + -84
-9.333333333x + x2 = 0 + -84

Combine like terms: 0 + -84 = -84
-9.333333333x + x2 = -84

The x term is -9.333333333x.  Take half its coefficient (-4.666666667).
Square it (21.77777778) and add it to both sides.

Add '21.77777778' to each side of the equation.
-9.333333333x + 21.77777778 + x2 = -84 + 21.77777778

Reorder the terms:
21.77777778 + -9.333333333x + x2 = -84 + 21.77777778

Combine like terms: -84 + 21.77777778 = -62.22222222
21.77777778 + -9.333333333x + x2 = -62.22222222

Factor a perfect square on the left side:
(x + -4.666666667)(x + -4.666666667) = -62.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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