(5-3x^2+4x)-(8-2x+5x)=

Solution for (5-3x^2+4x)-(8-2x+5x)= equation:

Simplifying
(5 + -3x2 + 4x) + -1(8 + -2x + 5x) = 0

Reorder the terms:
(5 + 4x + -3x2) + -1(8 + -2x + 5x) = 0

Remove parenthesis around (5 + 4x + -3x2)
5 + 4x + -3x2 + -1(8 + -2x + 5x) = 0

Combine like terms: -2x + 5x = 3x
5 + 4x + -3x2 + -1(8 + 3x) = 0
5 + 4x + -3x2 + (8 * -1 + 3x * -1) = 0
5 + 4x + -3x2 + (-8 + -3x) = 0

Reorder the terms:
5 + -8 + 4x + -3x + -3x2 = 0

Combine like terms: 5 + -8 = -3
-3 + 4x + -3x + -3x2 = 0

Combine like terms: 4x + -3x = 1x
-3 + 1x + -3x2 = 0

Solving
-3 + 1x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3333333333x + x2 = 0 + -1
-0.3333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3333333333x + x2 = -1

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + -0.3333333333x + x2 = -0.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.