3(4-5x)+2x(5x+2)=3+x

Solution for 3(4-5x)+2x(5x+2)=3+x equation:

Simplifying
3(4 + -5x) + 2x(5x + 2) = 3 + x
(4 * 3 + -5x * 3) + 2x(5x + 2) = 3 + x
(12 + -15x) + 2x(5x + 2) = 3 + x

Reorder the terms:
12 + -15x + 2x(2 + 5x) = 3 + x
12 + -15x + (2 * 2x + 5x * 2x) = 3 + x
12 + -15x + (4x + 10x2) = 3 + x

Combine like terms: -15x + 4x = -11x
12 + -11x + 10x2 = 3 + x

Solving
12 + -11x + 10x2 = 3 + x

Solving for variable 'x'.

Reorder the terms:
12 + -3 + -11x + -1x + 10x2 = 3 + x + -3 + -1x

Combine like terms: 12 + -3 = 9
9 + -11x + -1x + 10x2 = 3 + x + -3 + -1x

Combine like terms: -11x + -1x = -12x
9 + -12x + 10x2 = 3 + x + -3 + -1x

Reorder the terms:
9 + -12x + 10x2 = 3 + -3 + x + -1x

Combine like terms: 3 + -3 = 0
9 + -12x + 10x2 = 0 + x + -1x
9 + -12x + 10x2 = x + -1x

Combine like terms: x + -1x = 0
9 + -12x + 10x2 = 0

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

Divide each side by '10'.
0.9 + -1.2x + x2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + -1.2x + -0.9 + x2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + -1.2x + x2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -1.2x + x2 = 0.0 + -0.9
-1.2x + x2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
-1.2x + x2 = -0.9

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -0.9 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -0.9 + 0.36

Combine like terms: -0.9 + 0.36 = -0.54
0.36 + -1.2x + x2 = -0.54

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -0.54

Can't calculate square root of the right side.

The solution to this equation could not be determined.