5x-x^2+98=345

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Solution for 5x-x^2+98=345 equation:


Simplifying
5x + -1x2 + 98 = 345

Reorder the terms:
98 + 5x + -1x2 = 345

Solving
98 + 5x + -1x2 = 345

Solving for variable 'x'.

Reorder the terms:
98 + -345 + 5x + -1x2 = 345 + -345

Combine like terms: 98 + -345 = -247
-247 + 5x + -1x2 = 345 + -345

Combine like terms: 345 + -345 = 0
-247 + 5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
247 + -5x + x2 = 0

Move the constant term to the right:

Add '-247' to each side of the equation.
247 + -5x + -247 + x2 = 0 + -247

Reorder the terms:
247 + -247 + -5x + x2 = 0 + -247

Combine like terms: 247 + -247 = 0
0 + -5x + x2 = 0 + -247
-5x + x2 = 0 + -247

Combine like terms: 0 + -247 = -247
-5x + x2 = -247

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -247 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -247 + 6.25

Combine like terms: -247 + 6.25 = -240.75
6.25 + -5x + x2 = -240.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -240.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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