3x-10x(x+2)=3.6-7x

Solution for 3x-10x(x+2)=3.6-7x equation:

Simplifying
3x + -10x(x + 2) = 3.6 + -7x

Reorder the terms:
3x + -10x(2 + x) = 3.6 + -7x
3x + (2 * -10x + x * -10x) = 3.6 + -7x
3x + (-20x + -10x2) = 3.6 + -7x

Combine like terms: 3x + -20x = -17x
-17x + -10x2 = 3.6 + -7x

Solving
-17x + -10x2 = 3.6 + -7x

Solving for variable 'x'.

Reorder the terms:
-3.6 + -17x + 7x + -10x2 = 3.6 + -7x + -3.6 + 7x

Combine like terms: -17x + 7x = -10x
-3.6 + -10x + -10x2 = 3.6 + -7x + -3.6 + 7x

Reorder the terms:
-3.6 + -10x + -10x2 = 3.6 + -3.6 + -7x + 7x

Combine like terms: 3.6 + -3.6 = 0.0
-3.6 + -10x + -10x2 = 0.0 + -7x + 7x
-3.6 + -10x + -10x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-3.6 + -10x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.36 + x + x2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + x + x2 = 0 + -0.36
x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
x + x2 = -0.36

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -0.36 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.36 + 0.25

Combine like terms: -0.36 + 0.25 = -0.11
1.25 + x2 = -0.11

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.