-3x+6-x^2+x=

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


Simplifying
-3x + 6 + -1x2 + x = 0

Reorder the terms:
6 + -3x + x + -1x2 = 0

Combine like terms: -3x + x = -2x
6 + -2x + -1x2 = 0

Solving
6 + -2x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-6 + 2x + x2 = 0

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 2x + 6 + x2 = 0 + 6

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

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

Combine like terms: 0 + 6 = 6
2x + x2 = 6

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 = 6 + 1

Reorder the terms:
1 + 2x + x2 = 6 + 1

Combine like terms: 6 + 1 = 7
1 + 2x + x2 = 7

Factor a perfect square on the left side:
(x + 1)(x + 1) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + 1) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + 1 = 2.645751311 Simplifying x + 1 = 2.645751311 Reorder the terms: 1 + x = 2.645751311 Solving 1 + x = 2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 2.645751311 + -1 Combine like terms: 1 + -1 = 0 0 + x = 2.645751311 + -1 x = 2.645751311 + -1 Combine like terms: 2.645751311 + -1 = 1.645751311 x = 1.645751311 Simplifying x = 1.645751311

Subproblem 2

x + 1 = -2.645751311 Simplifying x + 1 = -2.645751311 Reorder the terms: 1 + x = -2.645751311 Solving 1 + x = -2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -2.645751311 + -1 Combine like terms: 1 + -1 = 0 0 + x = -2.645751311 + -1 x = -2.645751311 + -1 Combine like terms: -2.645751311 + -1 = -3.645751311 x = -3.645751311 Simplifying x = -3.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.645751311, -3.645751311}

See similar equations:

| 4(-2x-3)+6x=12 | | 2x+2(7x+12)=120 | | 2x-6+2x-1=24 | | 2x+2(2x+2)=58 | | (7y+12)+(3y-8)=110 | | 5m-12m=60 | | 21=8b | | 3x+4(3x+2)=128 | | 2x-9=-3+2x | | Ln(x)+ln(x+1)=ln(6) | | 2(x+4)(x-1)=0 | | -14=-4x-6+8x | | 4x^2+x-60=0 | | 3+15-9=2(x+2) | | 5x+4(3x-16)=123 | | 15c+7=9c+11 | | 4(2e+5f+3g)= | | 4x+3(7x+8)=174 | | 7x+2(4x+13)=175 | | 4x+2(4x+12)=84 | | ax+4x-1=2(x+3) | | (4x-10)+(2x+7)=75 | | 2x-4-3x+1=4x | | 4x+7(5x-14)=175 | | 11x+-2=180 | | 3x-36=x | | 3x+4(3x-5)=55 | | N^2-4n=3 | | 7yd= | | 3x+5z=6+4y | | -9x^2+43x+10= | | 4x^2-13x+9=-4x+4 |

Equations solver categories