2x^2+x(x-2)=7

Simple and best practice solution for 2x^2+x(x-2)=7 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 2x^2+x(x-2)=7 equation: 


Simplifying
2x2 + x(x + -2) = 7

Reorder the terms:
2x2 + x(-2 + x) = 7
2x2 + (-2 * x + x * x) = 7
2x2 + (-2x + x2) = 7

Reorder the terms:
-2x + 2x2 + x2 = 7

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

Solving
-2x + 3x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + -2x + 3x2 = 7 + -7

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

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

Divide each side by '3'.
-2.333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '2.333333333' to each side of the equation.
-2.333333333 + -0.6666666667x + 2.333333333 + x2 = 0 + 2.333333333

Reorder the terms:
-2.333333333 + 2.333333333 + -0.6666666667x + x2 = 0 + 2.333333333

Combine like terms: -2.333333333 + 2.333333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + 2.333333333
-0.6666666667x + x2 = 0 + 2.333333333

Combine like terms: 0 + 2.333333333 = 2.333333333
-0.6666666667x + x2 = 2.333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = 2.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = 2.333333333 + 0.1111111112

Combine like terms: 2.333333333 + 0.1111111112 = 2.4444444442
0.1111111112 + -0.6666666667x + x2 = 2.4444444442

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = 2.4444444442

Calculate the square root of the right side: 1.56347192

Break this problem into two subproblems by setting 
(x + -0.3333333334) equal to 1.56347192 and -1.56347192.


Subproblem 1
x + -0.3333333334 = 1.56347192

Simplifying
x + -0.3333333334 = 1.56347192

Reorder the terms:
-0.3333333334 + x = 1.56347192

Solving
-0.3333333334 + x = 1.56347192

Solving for variable 'x'.

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

Add '0.3333333334' to each side of the equation.
-0.3333333334 + 0.3333333334 + x = 1.56347192 + 0.3333333334

Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000
0.0000000000 + x = 1.56347192 + 0.3333333334
x = 1.56347192 + 0.3333333334

Combine like terms: 1.56347192 + 0.3333333334 = 1.8968052534
x = 1.8968052534

Simplifying
x = 1.8968052534


Subproblem 2
x + -0.3333333334 = -1.56347192

Simplifying
x + -0.3333333334 = -1.56347192

Reorder the terms:
-0.3333333334 + x = -1.56347192

Solving
-0.3333333334 + x = -1.56347192

Solving for variable 'x'.

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

Add '0.3333333334' to each side of the equation.
-0.3333333334 + 0.3333333334 + x = -1.56347192 + 0.3333333334

Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000
0.0000000000 + x = -1.56347192 + 0.3333333334
x = -1.56347192 + 0.3333333334

Combine like terms: -1.56347192 + 0.3333333334 = -1.2301385866
x = -1.2301385866

Simplifying
x = -1.2301385866


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.8968052534, -1.2301385866}

See similar equations:

| 18-c+9c+c= | | 20-20-7y=6y-6 | | 7v+8-9=12 | | 3x(2+2x)=x(5x-5) | | 5x^2+4x-15=0 | | 5+2x=7x^2-7 | | -5(6x+2c)-3c=25 | | 4x^2=-15 | | 6y-11=12 | | x^2-x+3=4x^2-5 | | 3/((x^2)-2) | | 3-5x^2=8-x | | 2((x-4)/2) | | 2(x-4/2) | | 11=3x+x^2 | | (3SD+4F)(4F+3SD)= | | 2x^2=7-4x | | 6/15=2/? | | 10(2x-3c)-5c=20 | | 2x(5-x)=10 | | -2(k+1)=k+7 | | 5x^2-8x-5=15 | | y(y-7)=49 | | x+5x+5x+4=99 | | 3*3*10-8= | | X(2x-7)=4(x-3) | | log1/2(x)=1 | | (3y+5)dx+(7x+2)dy=0 | | 3x(3-x)=14 | | 3x+2y+sqrt(4x-y)=5+sqrt(3) | | 6x-4n^2=0 | | 2x(9-5x)=-5x(2-3x) |

Equations solver categories