20x^2-47x+34=0

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Solution for 20x^2-47x+34=0 equation:


Simplifying
20x2 + -47x + 34 = 0

Reorder the terms:
34 + -47x + 20x2 = 0

Solving
34 + -47x + 20x2 = 0

Solving for variable 'x'.

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

Divide each side by '20'.
1.7 + -2.35x + x2 = 0

Move the constant term to the right:

Add '-1.7' to each side of the equation.
1.7 + -2.35x + -1.7 + x2 = 0 + -1.7

Reorder the terms:
1.7 + -1.7 + -2.35x + x2 = 0 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + -2.35x + x2 = 0 + -1.7
-2.35x + x2 = 0 + -1.7

Combine like terms: 0 + -1.7 = -1.7
-2.35x + x2 = -1.7

The x term is -2.35x.  Take half its coefficient (-1.175).
Square it (1.380625) and add it to both sides.

Add '1.380625' to each side of the equation.
-2.35x + 1.380625 + x2 = -1.7 + 1.380625

Reorder the terms:
1.380625 + -2.35x + x2 = -1.7 + 1.380625

Combine like terms: -1.7 + 1.380625 = -0.319375
1.380625 + -2.35x + x2 = -0.319375

Factor a perfect square on the left side:
(x + -1.175)(x + -1.175) = -0.319375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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