3.3=x-4.9x^2

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Solution for 3.3=x-4.9x^2 equation:


Simplifying
3.3 = x + -4.9x2

Solving
3.3 = x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
3.3 + -1x + 4.9x2 = x + -1x + -4.9x2 + 4.9x2

Combine like terms: x + -1x = 0
3.3 + -1x + 4.9x2 = 0 + -4.9x2 + 4.9x2
3.3 + -1x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
3.3 + -1x + 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'.
0.6734693878 + -0.2040816327x + x2 = 0

Move the constant term to the right:

Add '-0.6734693878' to each side of the equation.
0.6734693878 + -0.2040816327x + -0.6734693878 + x2 = 0 + -0.6734693878

Reorder the terms:
0.6734693878 + -0.6734693878 + -0.2040816327x + x2 = 0 + -0.6734693878

Combine like terms: 0.6734693878 + -0.6734693878 = 0.0000000000
0.0000000000 + -0.2040816327x + x2 = 0 + -0.6734693878
-0.2040816327x + x2 = 0 + -0.6734693878

Combine like terms: 0 + -0.6734693878 = -0.6734693878
-0.2040816327x + x2 = -0.6734693878

The x term is -0.2040816327x.  Take half its coefficient (-0.1020408164).
Square it (0.01041232821) and add it to both sides.

Add '0.01041232821' to each side of the equation.
-0.2040816327x + 0.01041232821 + x2 = -0.6734693878 + 0.01041232821

Reorder the terms:
0.01041232821 + -0.2040816327x + x2 = -0.6734693878 + 0.01041232821

Combine like terms: -0.6734693878 + 0.01041232821 = -0.66305705959
0.01041232821 + -0.2040816327x + x2 = -0.66305705959

Factor a perfect square on the left side:
(x + -0.1020408164)(x + -0.1020408164) = -0.66305705959

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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