4.9x^2-8x+120=0

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Solution for 4.9x^2-8x+120=0 equation:


Simplifying
4.9x2 + -8x + 120 = 0

Reorder the terms:
120 + -8x + 4.9x2 = 0

Solving
120 + -8x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
24.48979592 + -1.632653061x + x2 = 0

Move the constant term to the right:

Add '-24.48979592' to each side of the equation.
24.48979592 + -1.632653061x + -24.48979592 + x2 = 0 + -24.48979592

Reorder the terms:
24.48979592 + -24.48979592 + -1.632653061x + x2 = 0 + -24.48979592

Combine like terms: 24.48979592 + -24.48979592 = 0.00000000
0.00000000 + -1.632653061x + x2 = 0 + -24.48979592
-1.632653061x + x2 = 0 + -24.48979592

Combine like terms: 0 + -24.48979592 = -24.48979592
-1.632653061x + x2 = -24.48979592

The x term is -1.632653061x.  Take half its coefficient (-0.8163265305).
Square it (0.6663890044) and add it to both sides.

Add '0.6663890044' to each side of the equation.
-1.632653061x + 0.6663890044 + x2 = -24.48979592 + 0.6663890044

Reorder the terms:
0.6663890044 + -1.632653061x + x2 = -24.48979592 + 0.6663890044

Combine like terms: -24.48979592 + 0.6663890044 = -23.8234069156
0.6663890044 + -1.632653061x + x2 = -23.8234069156

Factor a perfect square on the left side:
(x + -0.8163265305)(x + -0.8163265305) = -23.8234069156

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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