0.5x^2+2.2x=-3.6

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Solution for 0.5x^2+2.2x=-3.6 equation:


Simplifying
0.5x2 + 2.2x = -3.6

Reorder the terms:
2.2x + 0.5x2 = -3.6

Solving
2.2x + 0.5x2 = -3.6

Solving for variable 'x'.

Reorder the terms:
3.6 + 2.2x + 0.5x2 = -3.6 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
3.6 + 2.2x + 0.5x2 = 0.0

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

Divide each side by '0.5'.
7.2 + 4.4x + x2 = 0

Move the constant term to the right:

Add '-7.2' to each side of the equation.
7.2 + 4.4x + -7.2 + x2 = 0 + -7.2

Reorder the terms:
7.2 + -7.2 + 4.4x + x2 = 0 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 4.4x + x2 = 0 + -7.2
4.4x + x2 = 0 + -7.2

Combine like terms: 0 + -7.2 = -7.2
4.4x + x2 = -7.2

The x term is 4.4x.  Take half its coefficient (2.2).
Square it (4.84) and add it to both sides.

Add '4.84' to each side of the equation.
4.4x + 4.84 + x2 = -7.2 + 4.84

Reorder the terms:
4.84 + 4.4x + x2 = -7.2 + 4.84

Combine like terms: -7.2 + 4.84 = -2.36
4.84 + 4.4x + x2 = -2.36

Factor a perfect square on the left side:
(x + 2.2)(x + 2.2) = -2.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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