10x+10-20+2x+2x^2+x^2=

Simple and best practice solution for 10x+10-20+2x+2x^2+x^2= 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 10x+10-20+2x+2x^2+x^2= equation: 


Simplifying
10x + 10 + -20 + 2x + 2x2 + x2 = 0

Reorder the terms:
10 + -20 + 10x + 2x + 2x2 + x2 = 0

Combine like terms: 10 + -20 = -10
-10 + 10x + 2x + 2x2 + x2 = 0

Combine like terms: 10x + 2x = 12x
-10 + 12x + 2x2 + x2 = 0

Combine like terms: 2x2 + x2 = 3x2
-10 + 12x + 3x2 = 0

Solving
-10 + 12x + 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'.
-3.333333333 + 4x + x2 = 0

Move the constant term to the right:

Add '3.333333333' to each side of the equation.
-3.333333333 + 4x + 3.333333333 + x2 = 0 + 3.333333333

Reorder the terms:
-3.333333333 + 3.333333333 + 4x + x2 = 0 + 3.333333333

Combine like terms: -3.333333333 + 3.333333333 = 0.000000000
0.000000000 + 4x + x2 = 0 + 3.333333333
4x + x2 = 0 + 3.333333333

Combine like terms: 0 + 3.333333333 = 3.333333333
4x + x2 = 3.333333333

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 3.333333333 + 4

Reorder the terms:
4 + 4x + x2 = 3.333333333 + 4

Combine like terms: 3.333333333 + 4 = 7.333333333
4 + 4x + x2 = 7.333333333

Factor a perfect square on the left side:
(x + 2)(x + 2) = 7.333333333

Calculate the square root of the right side: 2.708012801

Break this problem into two subproblems by setting 
(x + 2) equal to 2.708012801 and -2.708012801.


Subproblem 1
x + 2 = 2.708012801

Simplifying
x + 2 = 2.708012801

Reorder the terms:
2 + x = 2.708012801

Solving
2 + x = 2.708012801

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 2.708012801 + -2

Combine like terms: 2 + -2 = 0
0 + x = 2.708012801 + -2
x = 2.708012801 + -2

Combine like terms: 2.708012801 + -2 = 0.708012801
x = 0.708012801

Simplifying
x = 0.708012801


Subproblem 2
x + 2 = -2.708012801

Simplifying
x + 2 = -2.708012801

Reorder the terms:
2 + x = -2.708012801

Solving
2 + x = -2.708012801

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -2.708012801 + -2

Combine like terms: 2 + -2 = 0
0 + x = -2.708012801 + -2
x = -2.708012801 + -2

Combine like terms: -2.708012801 + -2 = -4.708012801
x = -4.708012801

Simplifying
x = -4.708012801


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.708012801, -4.708012801}

See similar equations:

| 6x+4x-2x+x^2= | | (5-6i)(6+I)= | | (5-6i)(6+1i)= | | (6+7i)-(-5-i)= | | -125=5 | | -7/5-2/3x=-5/4 | | X+c+z=30 | | -16=5n | | 9*2=27x | | (6+6i)+(4-5i)= | | 5(v-3)=5v+1-2(-5v-1) | | 3+4+9x+10x= | | 0.50-x/x=3.95e-1 | | -4(-5x+4)-5x=3(x-2)-8 | | 1.6=y/1.6 | | -2(5u-4)+4u=5+2(3u-6) | | 4+7+9x= | | -3(v+2)=-4(6v-1)+5v | | 16y^2-x^2+8x+192y+560=0 | | (r-5)(r+3)(r-5)(r+8)= | | x-3+2(3x+4)=-5(x+1) | | 2(y-9)-3=-3(-3y+6)-y | | 6(w-4)=2w+16 | | -5w+29=6(w+3) | | -5(x-6)=2x-26 | | An=(-1/3)^n | | 8x+8=-4(x-8) | | (6+1)(4+2X)=56 | | An=(1/3)^n | | -3(-9y+2)-8y=7(y-2)-2 | | 28-7x=14 | | 26-3x=7 |

Equations solver categories