5x+11=2+2x(-2x)

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Solution for 5x+11=2+2x(-2x) equation: 


Simplifying
5x + 11 = 2 + 2x(-2x)

Reorder the terms:
11 + 5x = 2 + 2x(-2x)

Remove parenthesis around (-2x)
11 + 5x = 2 + 2x * -2x

Reorder the terms for easier multiplication:
11 + 5x = 2 + 2 * -2x * x

Multiply 2 * -2
11 + 5x = 2 + -4x * x

Multiply x * x
11 + 5x = 2 + -4x2

Solving
11 + 5x = 2 + -4x2

Solving for variable 'x'.

Reorder the terms:
11 + -2 + 5x + 4x2 = 2 + -4x2 + -2 + 4x2

Combine like terms: 11 + -2 = 9
9 + 5x + 4x2 = 2 + -4x2 + -2 + 4x2

Reorder the terms:
9 + 5x + 4x2 = 2 + -2 + -4x2 + 4x2

Combine like terms: 2 + -2 = 0
9 + 5x + 4x2 = 0 + -4x2 + 4x2
9 + 5x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
9 + 5x + 4x2 = 0

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

Divide each side by '4'.
2.25 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 1.25x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 1.25x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 1.25x + x2 = 0 + -2.25
1.25x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
1.25x + x2 = -2.25

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -2.25 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -2.25 + 0.390625

Combine like terms: -2.25 + 0.390625 = -1.859375
0.390625 + 1.25x + x2 = -1.859375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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