(3x^2-4x+6)-(-2x+4)+(-5x-3)=

Simple and best practice solution for (3x^2-4x+6)-(-2x+4)+(-5x-3)= 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 (3x^2-4x+6)-(-2x+4)+(-5x-3)= equation: 


Simplifying
(3x2 + -4x + 6) + -1(-2x + 4) + (-5x + -3) = 0

Reorder the terms:
(6 + -4x + 3x2) + -1(-2x + 4) + (-5x + -3) = 0

Remove parenthesis around (6 + -4x + 3x2)
6 + -4x + 3x2 + -1(-2x + 4) + (-5x + -3) = 0

Reorder the terms:
6 + -4x + 3x2 + -1(4 + -2x) + (-5x + -3) = 0
6 + -4x + 3x2 + (4 * -1 + -2x * -1) + (-5x + -3) = 0
6 + -4x + 3x2 + (-4 + 2x) + (-5x + -3) = 0

Reorder the terms:
6 + -4x + 3x2 + -4 + 2x + (-3 + -5x) = 0

Remove parenthesis around (-3 + -5x)
6 + -4x + 3x2 + -4 + 2x + -3 + -5x = 0

Reorder the terms:
6 + -4 + -3 + -4x + 2x + -5x + 3x2 = 0

Combine like terms: 6 + -4 = 2
2 + -3 + -4x + 2x + -5x + 3x2 = 0

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

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

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

Solving
-1 + -7x + 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 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '0.3333333333' to each side of the equation.
-0.3333333333 + -2.333333333x + 0.3333333333 + x2 = 0 + 0.3333333333

Reorder the terms:
-0.3333333333 + 0.3333333333 + -2.333333333x + x2 = 0 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.0000000000 + -2.333333333x + x2 = 0 + 0.3333333333
-2.333333333x + x2 = 0 + 0.3333333333

Combine like terms: 0 + 0.3333333333 = 0.3333333333
-2.333333333x + x2 = 0.3333333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = 0.3333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = 0.3333333333 + 1.361111112

Combine like terms: 0.3333333333 + 1.361111112 = 1.6944444453
1.361111112 + -2.333333333x + x2 = 1.6944444453

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 1.6944444453

Calculate the square root of the right side: 1.30170828

Break this problem into two subproblems by setting 
(x + -1.166666667) equal to 1.30170828 and -1.30170828.


Subproblem 1
x + -1.166666667 = 1.30170828

Simplifying
x + -1.166666667 = 1.30170828

Reorder the terms:
-1.166666667 + x = 1.30170828

Solving
-1.166666667 + x = 1.30170828

Solving for variable 'x'.

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

Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = 1.30170828 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = 1.30170828 + 1.166666667
x = 1.30170828 + 1.166666667

Combine like terms: 1.30170828 + 1.166666667 = 2.468374947
x = 2.468374947

Simplifying
x = 2.468374947


Subproblem 2
x + -1.166666667 = -1.30170828

Simplifying
x + -1.166666667 = -1.30170828

Reorder the terms:
-1.166666667 + x = -1.30170828

Solving
-1.166666667 + x = -1.30170828

Solving for variable 'x'.

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

Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -1.30170828 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -1.30170828 + 1.166666667
x = -1.30170828 + 1.166666667

Combine like terms: -1.30170828 + 1.166666667 = -0.135041613
x = -0.135041613

Simplifying
x = -0.135041613


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.468374947, -0.135041613}

See similar equations:

| (3x+8)=256 | | 1ab-(-10ab)=x | | (3x^2-4x+6)-(-2x+4)+(5x-3)= | | 10x-1=7x+9 | | 7(t+2)+8=4(t-3)-2 | | 16y^2+6y+10=0 | | 5ab+ab=x | | 7(1+4)=259 | | 1/4(2x-12) | | 10x-17=5(x+1)-7 | | 4x+65=10x+1 | | p(x)=3x^2-6x+7 | | -3(2p+9)=-5(4-3p)+6 | | 1x+8=-16 | | 63+5y= | | 18y-6y-4y= | | 6a^2+7a-3=0 | | x^2=-9-6x | | X/2+5=x+3 | | k^2=-3k+18 | | 5x+50=150 | | n^2=2n+35 | | 5+2n=4 | | n^2+12n=-32 | | 5n+2n=4 | | 5n+2*n=4 | | 10x-1=7x+8 | | 37+2y=85 | | b^2=22 | | n^2=-30-11n | | 11+4r=38 | | -4f+6=34 |

Equations solver categories