5=3x^2-7x+11

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Solution for 5=3x^2-7x+11 equation: 


Simplifying
5 = 3x2 + -7x + 11

Reorder the terms:
5 = 11 + -7x + 3x2

Solving
5 = 11 + -7x + 3x2

Solving for variable 'x'.

Combine like terms: 5 + -11 = -6
-6 + 7x + -3x2 = 11 + -7x + 3x2 + -11 + 7x + -3x2

Reorder the terms:
-6 + 7x + -3x2 = 11 + -11 + -7x + 7x + 3x2 + -3x2

Combine like terms: 11 + -11 = 0
-6 + 7x + -3x2 = 0 + -7x + 7x + 3x2 + -3x2
-6 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
-6 + 7x + -3x2 = 0 + 3x2 + -3x2
-6 + 7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + 7x + -3x2 = 0

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

Divide each side by '-3'.
2 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.333333333x + x2 = 0 + -2
-2.333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.333333333x + x2 = -2

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -2 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -2 + 1.361111112

Combine like terms: -2 + 1.361111112 = -0.638888888
1.361111112 + -2.333333333x + x2 = -0.638888888

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -0.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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