7x-3x=85+2x^2+2x

Solution for 7x-3x=85+2x^2+2x equation:

Simplifying
7x + -3x = 85 + 2x2 + 2x

Combine like terms: 7x + -3x = 4x
4x = 85 + 2x2 + 2x

Reorder the terms:
4x = 85 + 2x + 2x2

Solving
4x = 85 + 2x + 2x2

Solving for variable 'x'.

Reorder the terms:
-85 + 4x + -2x + -2x2 = 85 + 2x + 2x2 + -85 + -2x + -2x2

Combine like terms: 4x + -2x = 2x
-85 + 2x + -2x2 = 85 + 2x + 2x2 + -85 + -2x + -2x2

Reorder the terms:
-85 + 2x + -2x2 = 85 + -85 + 2x + -2x + 2x2 + -2x2

Combine like terms: 85 + -85 = 0
-85 + 2x + -2x2 = 0 + 2x + -2x + 2x2 + -2x2
-85 + 2x + -2x2 = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
-85 + 2x + -2x2 = 0 + 2x2 + -2x2
-85 + 2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-85 + 2x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
42.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-42.5' to each side of the equation.
42.5 + -1x + -42.5 + x2 = 0 + -42.5

Reorder the terms:
42.5 + -42.5 + -1x + x2 = 0 + -42.5

Combine like terms: 42.5 + -42.5 = 0.0
0.0 + -1x + x2 = 0 + -42.5
-1x + x2 = 0 + -42.5

Combine like terms: 0 + -42.5 = -42.5
-1x + x2 = -42.5

The x term is -1x.  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.
-1x + 0.25 + x2 = -42.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -42.5 + 0.25

Combine like terms: -42.5 + 0.25 = -42.25
0.25 + -1x + x2 = -42.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -42.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.