4.9x^2-38x+240=0

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Solution for 4.9x^2-38x+240=0 equation:


Simplifying
4.9x2 + -38x + 240 = 0

Reorder the terms:
240 + -38x + 4.9x2 = 0

Solving
240 + -38x + 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'.
48.97959184 + -7.755102041x + x2 = 0

Move the constant term to the right:

Add '-48.97959184' to each side of the equation.
48.97959184 + -7.755102041x + -48.97959184 + x2 = 0 + -48.97959184

Reorder the terms:
48.97959184 + -48.97959184 + -7.755102041x + x2 = 0 + -48.97959184

Combine like terms: 48.97959184 + -48.97959184 = 0.00000000
0.00000000 + -7.755102041x + x2 = 0 + -48.97959184
-7.755102041x + x2 = 0 + -48.97959184

Combine like terms: 0 + -48.97959184 = -48.97959184
-7.755102041x + x2 = -48.97959184

The x term is -7.755102041x.  Take half its coefficient (-3.877551021).
Square it (15.03540192) and add it to both sides.

Add '15.03540192' to each side of the equation.
-7.755102041x + 15.03540192 + x2 = -48.97959184 + 15.03540192

Reorder the terms:
15.03540192 + -7.755102041x + x2 = -48.97959184 + 15.03540192

Combine like terms: -48.97959184 + 15.03540192 = -33.94418992
15.03540192 + -7.755102041x + x2 = -33.94418992

Factor a perfect square on the left side:
(x + -3.877551021)(x + -3.877551021) = -33.94418992

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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