x^2+18x+2=0

Simple and best practice solution for x^2+18x+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+18x+2=0 equation: 


Simplifying
x2 + 18x + 2 = 0

Reorder the terms:
2 + 18x + x2 = 0

Solving
2 + 18x + 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 + 18x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 18x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 18x + x2 = 0 + -2
18x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
18x + x2 = -2

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = -2 + 81

Reorder the terms:
81 + 18x + x2 = -2 + 81

Combine like terms: -2 + 81 = 79
81 + 18x + x2 = 79

Factor a perfect square on the left side:
(x + 9)(x + 9) = 79

Calculate the square root of the right side: 8.888194417

Break this problem into two subproblems by setting 
(x + 9) equal to 8.888194417 and -8.888194417.


Subproblem 1
x + 9 = 8.888194417

Simplifying
x + 9 = 8.888194417

Reorder the terms:
9 + x = 8.888194417

Solving
9 + x = 8.888194417

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + x = 8.888194417 + -9

Combine like terms: 9 + -9 = 0
0 + x = 8.888194417 + -9
x = 8.888194417 + -9

Combine like terms: 8.888194417 + -9 = -0.111805583
x = -0.111805583

Simplifying
x = -0.111805583


Subproblem 2
x + 9 = -8.888194417

Simplifying
x + 9 = -8.888194417

Reorder the terms:
9 + x = -8.888194417

Solving
9 + x = -8.888194417

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + x = -8.888194417 + -9

Combine like terms: 9 + -9 = 0
0 + x = -8.888194417 + -9
x = -8.888194417 + -9

Combine like terms: -8.888194417 + -9 = -17.888194417
x = -17.888194417

Simplifying
x = -17.888194417


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.111805583, -17.888194417}

See similar equations:

| 11-3(2-9)= | | 2(6x+5)+2(3x+3)+5=18x+21 | | -4+5x=4x-4 | | 0.7x+0.2(10)=0.5(x+20) | | 5x-3=8x+4 | | 9y-3-4y+7=34 | | y+4(6y+4)=16(y+1)+7y | | (x+8)2=42 | | 4(3x-5)-2=-2+12 | | y+4(6y+4)=16(y+1)7y | | -30=3x+4x+5 | | 4x+4=7x+4 | | 8(x+4)=9+8x | | 3(2k+1)=4(k+2)-1 | | -6-5x=-51 | | 3j+12=2(2j+6) | | 3(2x-8)=2(x+9) | | -10+5x=0 | | -9+7x=-37 | | 19=5(x-2)-(x-5) | | 25-x=24 | | -5x+4=-11 | | 4v=3t+6 | | 1x+1y=3.5 | | 2y-9=4y+5 | | 3u^2=12u-6 | | 42-x=15 | | 5x=11-6 | | 15x-(5x-6)=76 | | 3t=12-t | | 19-6x=-23 | | 19-6x=23 |

Equations solver categories