225x^2-480x+296=0

Solution for 225x^2-480x+296=0 equation:

Simplifying
225x2 + -480x + 296 = 0

Reorder the terms:
296 + -480x + 225x2 = 0

Solving
296 + -480x + 225x2 = 0

Solving for variable 'x'.

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

Divide each side by '225'.
1.315555556 + -2.133333333x + x2 = 0

Move the constant term to the right:

Add '-1.315555556' to each side of the equation.
1.315555556 + -2.133333333x + -1.315555556 + x2 = 0 + -1.315555556

Reorder the terms:
1.315555556 + -1.315555556 + -2.133333333x + x2 = 0 + -1.315555556

Combine like terms: 1.315555556 + -1.315555556 = 0.000000000
0.000000000 + -2.133333333x + x2 = 0 + -1.315555556
-2.133333333x + x2 = 0 + -1.315555556

Combine like terms: 0 + -1.315555556 = -1.315555556
-2.133333333x + x2 = -1.315555556

The x term is -2.133333333x.  Take half its coefficient (-1.066666667).
Square it (1.137777778) and add it to both sides.

Add '1.137777778' to each side of the equation.
-2.133333333x + 1.137777778 + x2 = -1.315555556 + 1.137777778

Reorder the terms:
1.137777778 + -2.133333333x + x2 = -1.315555556 + 1.137777778

Combine like terms: -1.315555556 + 1.137777778 = -0.177777778
1.137777778 + -2.133333333x + x2 = -0.177777778

Factor a perfect square on the left side:
(x + -1.066666667)(x + -1.066666667) = -0.177777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.