5x^2-22x+34=0

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Solution for 5x^2-22x+34=0 equation:


Simplifying
5x2 + -22x + 34 = 0

Reorder the terms:
34 + -22x + 5x2 = 0

Solving
34 + -22x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
6.8 + -4.4x + x2 = 0

Move the constant term to the right:

Add '-6.8' to each side of the equation.
6.8 + -4.4x + -6.8 + x2 = 0 + -6.8

Reorder the terms:
6.8 + -6.8 + -4.4x + x2 = 0 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -4.4x + x2 = 0 + -6.8
-4.4x + x2 = 0 + -6.8

Combine like terms: 0 + -6.8 = -6.8
-4.4x + x2 = -6.8

The x term is -4.4x.  Take half its coefficient (-2.2).
Square it (4.84) and add it to both sides.

Add '4.84' to each side of the equation.
-4.4x + 4.84 + x2 = -6.8 + 4.84

Reorder the terms:
4.84 + -4.4x + x2 = -6.8 + 4.84

Combine like terms: -6.8 + 4.84 = -1.96
4.84 + -4.4x + x2 = -1.96

Factor a perfect square on the left side:
(x + -2.2)(x + -2.2) = -1.96

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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