25x^2-80x+72=0

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Solution for 25x^2-80x+72=0 equation:


Simplifying
25x2 + -80x + 72 = 0

Reorder the terms:
72 + -80x + 25x2 = 0

Solving
72 + -80x + 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'.
2.88 + -3.2x + x2 = 0

Move the constant term to the right:

Add '-2.88' to each side of the equation.
2.88 + -3.2x + -2.88 + x2 = 0 + -2.88

Reorder the terms:
2.88 + -2.88 + -3.2x + x2 = 0 + -2.88

Combine like terms: 2.88 + -2.88 = 0.00
0.00 + -3.2x + x2 = 0 + -2.88
-3.2x + x2 = 0 + -2.88

Combine like terms: 0 + -2.88 = -2.88
-3.2x + x2 = -2.88

The x term is -3.2x.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2x + 2.56 + x2 = -2.88 + 2.56

Reorder the terms:
2.56 + -3.2x + x2 = -2.88 + 2.56

Combine like terms: -2.88 + 2.56 = -0.32
2.56 + -3.2x + x2 = -0.32

Factor a perfect square on the left side:
(x + -1.6)(x + -1.6) = -0.32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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