x^2+10x+2=0

Simple and best practice solution for x^2+10x+2=0 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 x^2+10x+2=0 equation: 


Simplifying
x2 + 10x + 2 = 0

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

Solving
2 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 10x + -2 + x2 = 0 + -2

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

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

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

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -2 + 25

Reorder the terms:
25 + 10x + x2 = -2 + 25

Combine like terms: -2 + 25 = 23
25 + 10x + x2 = 23

Factor a perfect square on the left side:
(x + 5)(x + 5) = 23

Calculate the square root of the right side: 4.795831523

Break this problem into two subproblems by setting 
(x + 5) equal to 4.795831523 and -4.795831523.


Subproblem 1
x + 5 = 4.795831523

Simplifying
x + 5 = 4.795831523

Reorder the terms:
5 + x = 4.795831523

Solving
5 + x = 4.795831523

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 4.795831523 + -5

Combine like terms: 5 + -5 = 0
0 + x = 4.795831523 + -5
x = 4.795831523 + -5

Combine like terms: 4.795831523 + -5 = -0.204168477
x = -0.204168477

Simplifying
x = -0.204168477


Subproblem 2
x + 5 = -4.795831523

Simplifying
x + 5 = -4.795831523

Reorder the terms:
5 + x = -4.795831523

Solving
5 + x = -4.795831523

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -4.795831523 + -5

Combine like terms: 5 + -5 = 0
0 + x = -4.795831523 + -5
x = -4.795831523 + -5

Combine like terms: -4.795831523 + -5 = -9.795831523
x = -9.795831523

Simplifying
x = -9.795831523


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.204168477, -9.795831523}

See similar equations:

| -7(2p+3)-49=4(4p+5) | | -7x=91 | | -7=91 | | x-1.2=-4.5+2.3 | | 2x=7x | | 6x-3=15x-57 | | x(x+1)=3x-10 | | 0=-8(Y+4) | | 3(C-4)=4(C-5) | | 7-8c=19-2c | | 10=5x-10 | | 5x+3=7x-5(2x+1) | | x^2-6x=27 | | x^2+20x=0 | | x(x+1)=0 | | -4(2x+5)= | | 5a-3=3a+9 | | 3a+2=a+12 | | 4s-15s=88 | | 4s-15s= | | 6a=24-6a | | -900=-30(-5b) | | 5x-7=4x+1.5 | | (y+3)(2y-5)(2y+7)(y-3)=91 | | 10y-7y=1.8 | | 8(y+3)= | | 5x-12=3(x-2) | | 2x+1=5x+7 | | 3x-5=x+2 | | (3x+8)(3x-6)=52 | | 10x-2x=2*4x | | 4(n-2)=3(n+2) |

Equations solver categories