(2x)(2x)+8.8x=-68.9

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Solution for (2x)(2x)+8.8x=-68.9 equation: 


Simplifying
(2x)(2x) + 8.8x = -68.9

Remove parenthesis around (2x)
2x(2x) + 8.8x = -68.9

Remove parenthesis around (2x)
2x * 2x + 8.8x = -68.9

Reorder the terms for easier multiplication:
2 * 2x * x + 8.8x = -68.9

Multiply 2 * 2
4x * x + 8.8x = -68.9

Multiply x * x
4x2 + 8.8x = -68.9

Reorder the terms:
8.8x + 4x2 = -68.9

Solving
8.8x + 4x2 = -68.9

Solving for variable 'x'.

Reorder the terms:
68.9 + 8.8x + 4x2 = -68.9 + 68.9

Combine like terms: -68.9 + 68.9 = 0.0
68.9 + 8.8x + 4x2 = 0.0

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

Divide each side by '4'.
17.225 + 2.2x + x2 = 0.0

Move the constant term to the right:

Add '-17.225' to each side of the equation.
17.225 + 2.2x + -17.225 + x2 = 0.0 + -17.225

Reorder the terms:
17.225 + -17.225 + 2.2x + x2 = 0.0 + -17.225

Combine like terms: 17.225 + -17.225 = 0.000
0.000 + 2.2x + x2 = 0.0 + -17.225
2.2x + x2 = 0.0 + -17.225

Combine like terms: 0.0 + -17.225 = -17.225
2.2x + x2 = -17.225

The x term is 2.2x.  Take half its coefficient (1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
2.2x + 1.21 + x2 = -17.225 + 1.21

Reorder the terms:
1.21 + 2.2x + x2 = -17.225 + 1.21

Combine like terms: -17.225 + 1.21 = -16.015
1.21 + 2.2x + x2 = -16.015

Factor a perfect square on the left side:
(x + 1.1)(x + 1.1) = -16.015

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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