20=-2.966x-4.9x^2

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Solution for 20=-2.966x-4.9x^2 equation: 


Simplifying
20 = -2.966x + -4.9x2

Solving
20 = -2.966x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
20 + 2.966x + 4.9x2 = -2.966x + 2.966x + -4.9x2 + 4.9x2

Combine like terms: -2.966x + 2.966x = 0.000
20 + 2.966x + 4.9x2 = 0.000 + -4.9x2 + 4.9x2
20 + 2.966x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
20 + 2.966x + 4.9x2 = 0.0

Begin completing the square.  Divide all terms by
4.9 the coefficient of the squared term: 

Divide each side by '4.9'.
4.081632653 + 0.6053061224x + x2 = 0

Move the constant term to the right:

Add '-4.081632653' to each side of the equation.
4.081632653 + 0.6053061224x + -4.081632653 + x2 = 0 + -4.081632653

Reorder the terms:
4.081632653 + -4.081632653 + 0.6053061224x + x2 = 0 + -4.081632653

Combine like terms: 4.081632653 + -4.081632653 = 0.000000000
0.000000000 + 0.6053061224x + x2 = 0 + -4.081632653
0.6053061224x + x2 = 0 + -4.081632653

Combine like terms: 0 + -4.081632653 = -4.081632653
0.6053061224x + x2 = -4.081632653

The x term is 0.6053061224x.  Take half its coefficient (0.3026530612).
Square it (0.09159887545) and add it to both sides.

Add '0.09159887545' to each side of the equation.
0.6053061224x + 0.09159887545 + x2 = -4.081632653 + 0.09159887545

Reorder the terms:
0.09159887545 + 0.6053061224x + x2 = -4.081632653 + 0.09159887545

Combine like terms: -4.081632653 + 0.09159887545 = -3.99003377755
0.09159887545 + 0.6053061224x + x2 = -3.99003377755

Factor a perfect square on the left side:
(x + 0.3026530612)(x + 0.3026530612) = -3.99003377755

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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