5x^2-28x+96=0

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Solution for 5x^2-28x+96=0 equation:


Simplifying
5x2 + -28x + 96 = 0

Reorder the terms:
96 + -28x + 5x2 = 0

Solving
96 + -28x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
19.2 + -5.6x + x2 = 0

Move the constant term to the right:

Add '-19.2' to each side of the equation.
19.2 + -5.6x + -19.2 + x2 = 0 + -19.2

Reorder the terms:
19.2 + -19.2 + -5.6x + x2 = 0 + -19.2

Combine like terms: 19.2 + -19.2 = 0.0
0.0 + -5.6x + x2 = 0 + -19.2
-5.6x + x2 = 0 + -19.2

Combine like terms: 0 + -19.2 = -19.2
-5.6x + x2 = -19.2

The x term is -5.6x.  Take half its coefficient (-2.8).
Square it (7.84) and add it to both sides.

Add '7.84' to each side of the equation.
-5.6x + 7.84 + x2 = -19.2 + 7.84

Reorder the terms:
7.84 + -5.6x + x2 = -19.2 + 7.84

Combine like terms: -19.2 + 7.84 = -11.36
7.84 + -5.6x + x2 = -11.36

Factor a perfect square on the left side:
(x + -2.8)(x + -2.8) = -11.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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