16x^2-39.2x+98=0

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Solution for 16x^2-39.2x+98=0 equation:


Simplifying
16x2 + -39.2x + 98 = 0

Reorder the terms:
98 + -39.2x + 16x2 = 0

Solving
98 + -39.2x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
6.125 + -2.45x + x2 = 0

Move the constant term to the right:

Add '-6.125' to each side of the equation.
6.125 + -2.45x + -6.125 + x2 = 0 + -6.125

Reorder the terms:
6.125 + -6.125 + -2.45x + x2 = 0 + -6.125

Combine like terms: 6.125 + -6.125 = 0.000
0.000 + -2.45x + x2 = 0 + -6.125
-2.45x + x2 = 0 + -6.125

Combine like terms: 0 + -6.125 = -6.125
-2.45x + x2 = -6.125

The x term is -2.45x.  Take half its coefficient (-1.225).
Square it (1.500625) and add it to both sides.

Add '1.500625' to each side of the equation.
-2.45x + 1.500625 + x2 = -6.125 + 1.500625

Reorder the terms:
1.500625 + -2.45x + x2 = -6.125 + 1.500625

Combine like terms: -6.125 + 1.500625 = -4.624375
1.500625 + -2.45x + x2 = -4.624375

Factor a perfect square on the left side:
(x + -1.225)(x + -1.225) = -4.624375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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