0=-0.1x^2+23x-1700

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Solution for 0=-0.1x^2+23x-1700 equation:


Simplifying
0 = -0.1x2 + 23x + -1700

Reorder the terms:
0 = -1700 + 23x + -0.1x2

Solving
0 = -1700 + 23x + -0.1x2

Solving for variable 'x'.

Combine like terms: 0 + 1700 = 1700
1700 + -23x + 0.1x2 = -1700 + 23x + -0.1x2 + 1700 + -23x + 0.1x2

Reorder the terms:
1700 + -23x + 0.1x2 = -1700 + 1700 + 23x + -23x + -0.1x2 + 0.1x2

Combine like terms: -1700 + 1700 = 0
1700 + -23x + 0.1x2 = 0 + 23x + -23x + -0.1x2 + 0.1x2
1700 + -23x + 0.1x2 = 23x + -23x + -0.1x2 + 0.1x2

Combine like terms: 23x + -23x = 0
1700 + -23x + 0.1x2 = 0 + -0.1x2 + 0.1x2
1700 + -23x + 0.1x2 = -0.1x2 + 0.1x2

Combine like terms: -0.1x2 + 0.1x2 = 0.0
1700 + -23x + 0.1x2 = 0.0

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

Divide each side by '0.1'.
17000 + -230x + x2 = 0

Move the constant term to the right:

Add '-17000' to each side of the equation.
17000 + -230x + -17000 + x2 = 0 + -17000

Reorder the terms:
17000 + -17000 + -230x + x2 = 0 + -17000

Combine like terms: 17000 + -17000 = 0
0 + -230x + x2 = 0 + -17000
-230x + x2 = 0 + -17000

Combine like terms: 0 + -17000 = -17000
-230x + x2 = -17000

The x term is -230x.  Take half its coefficient (-115).
Square it (13225) and add it to both sides.

Add '13225' to each side of the equation.
-230x + 13225 + x2 = -17000 + 13225

Reorder the terms:
13225 + -230x + x2 = -17000 + 13225

Combine like terms: -17000 + 13225 = -3775
13225 + -230x + x2 = -3775

Factor a perfect square on the left side:
(x + -115)(x + -115) = -3775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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