25x^2-294x+945=0

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Solution for 25x^2-294x+945=0 equation:


Simplifying
25x2 + -294x + 945 = 0

Reorder the terms:
945 + -294x + 25x2 = 0

Solving
945 + -294x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
37.8 + -11.76x + x2 = 0

Move the constant term to the right:

Add '-37.8' to each side of the equation.
37.8 + -11.76x + -37.8 + x2 = 0 + -37.8

Reorder the terms:
37.8 + -37.8 + -11.76x + x2 = 0 + -37.8

Combine like terms: 37.8 + -37.8 = 0.0
0.0 + -11.76x + x2 = 0 + -37.8
-11.76x + x2 = 0 + -37.8

Combine like terms: 0 + -37.8 = -37.8
-11.76x + x2 = -37.8

The x term is -11.76x.  Take half its coefficient (-5.88).
Square it (34.5744) and add it to both sides.

Add '34.5744' to each side of the equation.
-11.76x + 34.5744 + x2 = -37.8 + 34.5744

Reorder the terms:
34.5744 + -11.76x + x2 = -37.8 + 34.5744

Combine like terms: -37.8 + 34.5744 = -3.2256
34.5744 + -11.76x + x2 = -3.2256

Factor a perfect square on the left side:
(x + -5.88)(x + -5.88) = -3.2256

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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