0=x^2-7x+294

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Solution for 0=x^2-7x+294 equation:


Simplifying
0 = x2 + -7x + 294

Reorder the terms:
0 = 294 + -7x + x2

Solving
0 = 294 + -7x + x2

Solving for variable 'x'.

Combine like terms: 0 + -294 = -294
-294 + 7x + -1x2 = 294 + -7x + x2 + -294 + 7x + -1x2

Reorder the terms:
-294 + 7x + -1x2 = 294 + -294 + -7x + 7x + x2 + -1x2

Combine like terms: 294 + -294 = 0
-294 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2
-294 + 7x + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
-294 + 7x + -1x2 = 0 + x2 + -1x2
-294 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-294 + 7x + -1x2 = 0

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

Divide each side by '-1'.
294 + -7x + x2 = 0

Move the constant term to the right:

Add '-294' to each side of the equation.
294 + -7x + -294 + x2 = 0 + -294

Reorder the terms:
294 + -294 + -7x + x2 = 0 + -294

Combine like terms: 294 + -294 = 0
0 + -7x + x2 = 0 + -294
-7x + x2 = 0 + -294

Combine like terms: 0 + -294 = -294
-7x + x2 = -294

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -294 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -294 + 12.25

Combine like terms: -294 + 12.25 = -281.75
12.25 + -7x + x2 = -281.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -281.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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