3x^2+14x+22=5

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Solution for 3x^2+14x+22=5 equation: 


Simplifying
3x2 + 14x + 22 = 5

Reorder the terms:
22 + 14x + 3x2 = 5

Solving
22 + 14x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
22 + -5 + 14x + 3x2 = 5 + -5

Combine like terms: 22 + -5 = 17
17 + 14x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
17 + 14x + 3x2 = 0

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

Divide each side by '3'.
5.666666667 + 4.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + 4.666666667x + -5.666666667 + x2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + 4.666666667x + x2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + 4.666666667x + x2 = 0 + -5.666666667
4.666666667x + x2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
4.666666667x + x2 = -5.666666667

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 = -5.666666667 + 5.444444448

Reorder the terms:
5.444444448 + 4.666666667x + x2 = -5.666666667 + 5.444444448

Combine like terms: -5.666666667 + 5.444444448 = -0.222222219
5.444444448 + 4.666666667x + x2 = -0.222222219

Factor a perfect square on the left side:
(x + 2.333333334)(x + 2.333333334) = -0.222222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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