4x-5-4x+x=56+x-3-3x^2

Solution for 4x-5-4x+x=56+x-3-3x^2 equation:

Simplifying
4x + -5 + -4x + x = 56 + x + -3 + -3x2

Reorder the terms:
-5 + 4x + -4x + x = 56 + x + -3 + -3x2

Combine like terms: 4x + -4x = 0
-5 + 0 + x = 56 + x + -3 + -3x2
-5 + x = 56 + x + -3 + -3x2

Reorder the terms:
-5 + x = 56 + -3 + x + -3x2

Combine like terms: 56 + -3 = 53
-5 + x = 53 + x + -3x2

Add '-1x' to each side of the equation.
-5 + x + -1x = 53 + x + -1x + -3x2

Combine like terms: x + -1x = 0
-5 + 0 = 53 + x + -1x + -3x2
-5 = 53 + x + -1x + -3x2

Combine like terms: x + -1x = 0
-5 = 53 + 0 + -3x2
-5 = 53 + -3x2

Solving
-5 = 53 + -3x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x2' to each side of the equation.
-5 + 3x2 = 53 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-5 + 3x2 = 53 + 0
-5 + 3x2 = 53

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 53 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 53 + 5
3x2 = 53 + 5

Combine like terms: 53 + 5 = 58
3x2 = 58

Divide each side by '3'.
x2 = 19.33333333

Simplifying
x2 = 19.33333333

Take the square root of each side:
x = {-4.396968652, 4.396968652}