50+10x+4.9x^2=0

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Solution for 50+10x+4.9x^2=0 equation:


Simplifying
50 + 10x + 4.9x2 = 0

Solving
50 + 10x + 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'.
10.20408163 + 2.040816327x + x2 = 0

Move the constant term to the right:

Add '-10.20408163' to each side of the equation.
10.20408163 + 2.040816327x + -10.20408163 + x2 = 0 + -10.20408163

Reorder the terms:
10.20408163 + -10.20408163 + 2.040816327x + x2 = 0 + -10.20408163

Combine like terms: 10.20408163 + -10.20408163 = 0.00000000
0.00000000 + 2.040816327x + x2 = 0 + -10.20408163
2.040816327x + x2 = 0 + -10.20408163

Combine like terms: 0 + -10.20408163 = -10.20408163
2.040816327x + x2 = -10.20408163

The x term is 2.040816327x.  Take half its coefficient (1.020408164).
Square it (1.041232821) and add it to both sides.

Add '1.041232821' to each side of the equation.
2.040816327x + 1.041232821 + x2 = -10.20408163 + 1.041232821

Reorder the terms:
1.041232821 + 2.040816327x + x2 = -10.20408163 + 1.041232821

Combine like terms: -10.20408163 + 1.041232821 = -9.162848809
1.041232821 + 2.040816327x + x2 = -9.162848809

Factor a perfect square on the left side:
(x + 1.020408164)(x + 1.020408164) = -9.162848809

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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