4.9x^2+10x+90=0

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Solution for 4.9x^2+10x+90=0 equation:


Simplifying
4.9x2 + 10x + 90 = 0

Reorder the terms:
90 + 10x + 4.9x2 = 0

Solving
90 + 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'.
18.36734694 + 2.040816327x + x2 = 0

Move the constant term to the right:

Add '-18.36734694' to each side of the equation.
18.36734694 + 2.040816327x + -18.36734694 + x2 = 0 + -18.36734694

Reorder the terms:
18.36734694 + -18.36734694 + 2.040816327x + x2 = 0 + -18.36734694

Combine like terms: 18.36734694 + -18.36734694 = 0.00000000
0.00000000 + 2.040816327x + x2 = 0 + -18.36734694
2.040816327x + x2 = 0 + -18.36734694

Combine like terms: 0 + -18.36734694 = -18.36734694
2.040816327x + x2 = -18.36734694

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 = -18.36734694 + 1.041232821

Reorder the terms:
1.041232821 + 2.040816327x + x2 = -18.36734694 + 1.041232821

Combine like terms: -18.36734694 + 1.041232821 = -17.326114119
1.041232821 + 2.040816327x + x2 = -17.326114119

Factor a perfect square on the left side:
(x + 1.020408164)(x + 1.020408164) = -17.326114119

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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