4.9x^2+-5x+218=0

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Solution for 4.9x^2+-5x+218=0 equation:


Simplifying
4.9x2 + -5x + 218 = 0

Reorder the terms:
218 + -5x + 4.9x2 = 0

Solving
218 + -5x + 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'.
44.48979592 + -1.020408163x + x2 = 0

Move the constant term to the right:

Add '-44.48979592' to each side of the equation.
44.48979592 + -1.020408163x + -44.48979592 + x2 = 0 + -44.48979592

Reorder the terms:
44.48979592 + -44.48979592 + -1.020408163x + x2 = 0 + -44.48979592

Combine like terms: 44.48979592 + -44.48979592 = 0.00000000
0.00000000 + -1.020408163x + x2 = 0 + -44.48979592
-1.020408163x + x2 = 0 + -44.48979592

Combine like terms: 0 + -44.48979592 = -44.48979592
-1.020408163x + x2 = -44.48979592

The x term is -1.020408163x.  Take half its coefficient (-0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
-1.020408163x + 0.2603082048 + x2 = -44.48979592 + 0.2603082048

Reorder the terms:
0.2603082048 + -1.020408163x + x2 = -44.48979592 + 0.2603082048

Combine like terms: -44.48979592 + 0.2603082048 = -44.2294877152
0.2603082048 + -1.020408163x + x2 = -44.2294877152

Factor a perfect square on the left side:
(x + -0.5102040815)(x + -0.5102040815) = -44.2294877152

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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