4.9x^2-20x+300=0

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Solution for 4.9x^2-20x+300=0 equation:


Simplifying
4.9x2 + -20x + 300 = 0

Reorder the terms:
300 + -20x + 4.9x2 = 0

Solving
300 + -20x + 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'.
61.2244898 + -4.081632653x + x2 = 0

Move the constant term to the right:

Add '-61.2244898' to each side of the equation.
61.2244898 + -4.081632653x + -61.2244898 + x2 = 0 + -61.2244898

Reorder the terms:
61.2244898 + -61.2244898 + -4.081632653x + x2 = 0 + -61.2244898

Combine like terms: 61.2244898 + -61.2244898 = 0.0000000
0.0000000 + -4.081632653x + x2 = 0 + -61.2244898
-4.081632653x + x2 = 0 + -61.2244898

Combine like terms: 0 + -61.2244898 = -61.2244898
-4.081632653x + x2 = -61.2244898

The x term is -4.081632653x.  Take half its coefficient (-2.040816327).
Square it (4.164931281) and add it to both sides.

Add '4.164931281' to each side of the equation.
-4.081632653x + 4.164931281 + x2 = -61.2244898 + 4.164931281

Reorder the terms:
4.164931281 + -4.081632653x + x2 = -61.2244898 + 4.164931281

Combine like terms: -61.2244898 + 4.164931281 = -57.059558519
4.164931281 + -4.081632653x + x2 = -57.059558519

Factor a perfect square on the left side:
(x + -2.040816327)(x + -2.040816327) = -57.059558519

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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