-5(-2x+3)-3x^2=1+2x^2

Solution for -5(-2x+3)-3x^2=1+2x^2 equation:

Simplifying
-5(-2x + 3) + -3x2 = 1 + 2x2

Reorder the terms:
-5(3 + -2x) + -3x2 = 1 + 2x2
(3 * -5 + -2x * -5) + -3x2 = 1 + 2x2
(-15 + 10x) + -3x2 = 1 + 2x2

Solving
-15 + 10x + -3x2 = 1 + 2x2

Solving for variable 'x'.

Reorder the terms:
-15 + -1 + 10x + -3x2 + -2x2 = 1 + 2x2 + -1 + -2x2

Combine like terms: -15 + -1 = -16
-16 + 10x + -3x2 + -2x2 = 1 + 2x2 + -1 + -2x2

Combine like terms: -3x2 + -2x2 = -5x2
-16 + 10x + -5x2 = 1 + 2x2 + -1 + -2x2

Reorder the terms:
-16 + 10x + -5x2 = 1 + -1 + 2x2 + -2x2

Combine like terms: 1 + -1 = 0
-16 + 10x + -5x2 = 0 + 2x2 + -2x2
-16 + 10x + -5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + 10x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
3.2 + -2x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -2x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -2x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -2x + x2 = 0 + -3.2
-2x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-2x + x2 = -3.2

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -3.2 + 1

Reorder the terms:
1 + -2x + x2 = -3.2 + 1

Combine like terms: -3.2 + 1 = -2.2
1 + -2x + x2 = -2.2

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2.2

Can't calculate square root of the right side.

The solution to this equation could not be determined.