(5x^2-3x-2x^3+3)-(2x^2-7x-2x^3+4)=

Simple and best practice solution for (5x^2-3x-2x^3+3)-(2x^2-7x-2x^3+4)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5x^2-3x-2x^3+3)-(2x^2-7x-2x^3+4)= equation: 


Simplifying
(5x2 + -3x + -2x3 + 3) + -1(2x2 + -7x + -2x3 + 4) = 0

Reorder the terms:
(3 + -3x + 5x2 + -2x3) + -1(2x2 + -7x + -2x3 + 4) = 0

Remove parenthesis around (3 + -3x + 5x2 + -2x3)
3 + -3x + 5x2 + -2x3 + -1(2x2 + -7x + -2x3 + 4) = 0

Reorder the terms:
3 + -3x + 5x2 + -2x3 + -1(4 + -7x + 2x2 + -2x3) = 0
3 + -3x + 5x2 + -2x3 + (4 * -1 + -7x * -1 + 2x2 * -1 + -2x3 * -1) = 0
3 + -3x + 5x2 + -2x3 + (-4 + 7x + -2x2 + 2x3) = 0

Reorder the terms:
3 + -4 + -3x + 7x + 5x2 + -2x2 + -2x3 + 2x3 = 0

Combine like terms: 3 + -4 = -1
-1 + -3x + 7x + 5x2 + -2x2 + -2x3 + 2x3 = 0

Combine like terms: -3x + 7x = 4x
-1 + 4x + 5x2 + -2x2 + -2x3 + 2x3 = 0

Combine like terms: 5x2 + -2x2 = 3x2
-1 + 4x + 3x2 + -2x3 + 2x3 = 0

Combine like terms: -2x3 + 2x3 = 0
-1 + 4x + 3x2 + 0 = 0
-1 + 4x + 3x2 = 0

Solving
-1 + 4x + 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'.
-0.3333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '0.3333333333' to each side of the equation.
-0.3333333333 + 1.333333333x + 0.3333333333 + x2 = 0 + 0.3333333333

Reorder the terms:
-0.3333333333 + 0.3333333333 + 1.333333333x + x2 = 0 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.0000000000 + 1.333333333x + x2 = 0 + 0.3333333333
1.333333333x + x2 = 0 + 0.3333333333

Combine like terms: 0 + 0.3333333333 = 0.3333333333
1.333333333x + x2 = 0.3333333333

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = 0.3333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = 0.3333333333 + 0.4444444442

Combine like terms: 0.3333333333 + 0.4444444442 = 0.7777777775
0.4444444442 + 1.333333333x + x2 = 0.7777777775

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = 0.7777777775

Calculate the square root of the right side: 0.881917104

Break this problem into two subproblems by setting 
(x + 0.6666666665) equal to 0.881917104 and -0.881917104.


Subproblem 1
x + 0.6666666665 = 0.881917104

Simplifying
x + 0.6666666665 = 0.881917104

Reorder the terms:
0.6666666665 + x = 0.881917104

Solving
0.6666666665 + x = 0.881917104

Solving for variable 'x'.

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

Add '-0.6666666665' to each side of the equation.
0.6666666665 + -0.6666666665 + x = 0.881917104 + -0.6666666665

Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000
0.0000000000 + x = 0.881917104 + -0.6666666665
x = 0.881917104 + -0.6666666665

Combine like terms: 0.881917104 + -0.6666666665 = 0.2152504375
x = 0.2152504375

Simplifying
x = 0.2152504375


Subproblem 2
x + 0.6666666665 = -0.881917104

Simplifying
x + 0.6666666665 = -0.881917104

Reorder the terms:
0.6666666665 + x = -0.881917104

Solving
0.6666666665 + x = -0.881917104

Solving for variable 'x'.

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

Add '-0.6666666665' to each side of the equation.
0.6666666665 + -0.6666666665 + x = -0.881917104 + -0.6666666665

Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000
0.0000000000 + x = -0.881917104 + -0.6666666665
x = -0.881917104 + -0.6666666665

Combine like terms: -0.881917104 + -0.6666666665 = -1.5485837705
x = -1.5485837705

Simplifying
x = -1.5485837705


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.2152504375, -1.5485837705}

See similar equations:

| 2n=5+2(n-1) | | -2x^2+4xy= | | 1-(9/10x)x=8/3 | | 8+5r=27 | | 4-3/5=2/5 | | y=8(0.65)x | | 24pq^6=16p^6q^5 | | -4x-3y+8=0 | | 2r^3-18r^2=0 | | 5x-20=2x+160 | | a(b+c)+2(b+c)= | | 3am+6a= | | (7x+6)+(-8x+7)= | | 8(-8-6k)=5k+22 | | 16a^2-16b^2= | | 16x-12=5(3x+4)-8 | | -7(8n-6)=-22+8n | | 4n-5+3n-2= | | n^9/n^17 | | 3x+21000=10x | | w/-2=2 | | -3(6a-1)=-69 | | 12+2y=36 | | 1-(9/10x)=8/3 | | 4xy+8x= | | 1/3x=b | | 16-12=-2(x+5) | | 7n-3n+4-4n= | | -4-5(5p+3)=56 | | 4xy+x= | | x^3+6x+3=0 | | -2(1/4) |

Equations solver categories