x^2+18x+16=0

Simple and best practice solution for x^2+18x+16=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+16=0 equation: 


Simplifying
x2 + 18x + 16 = 0

Reorder the terms:
16 + 18x + x2 = 0

Solving
16 + 18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 18x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 18x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 18x + x2 = 0 + -16
18x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
18x + x2 = -16

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 = -16 + 81

Reorder the terms:
81 + 18x + x2 = -16 + 81

Combine like terms: -16 + 81 = 65
81 + 18x + x2 = 65

Factor a perfect square on the left side:
(x + 9)(x + 9) = 65

Calculate the square root of the right side: 8.062257748

Break this problem into two subproblems by setting 
(x + 9) equal to 8.062257748 and -8.062257748.


Subproblem 1
x + 9 = 8.062257748

Simplifying
x + 9 = 8.062257748

Reorder the terms:
9 + x = 8.062257748

Solving
9 + x = 8.062257748

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 = 8.062257748 + -9

Combine like terms: 9 + -9 = 0
0 + x = 8.062257748 + -9
x = 8.062257748 + -9

Combine like terms: 8.062257748 + -9 = -0.937742252
x = -0.937742252

Simplifying
x = -0.937742252


Subproblem 2
x + 9 = -8.062257748

Simplifying
x + 9 = -8.062257748

Reorder the terms:
9 + x = -8.062257748

Solving
9 + x = -8.062257748

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 = -8.062257748 + -9

Combine like terms: 9 + -9 = 0
0 + x = -8.062257748 + -9
x = -8.062257748 + -9

Combine like terms: -8.062257748 + -9 = -17.062257748
x = -17.062257748

Simplifying
x = -17.062257748


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.937742252, -17.062257748}

See similar equations:

| 3(4-x)-x=-13 | | x^2-11x-4=0 | | 4x^3-9X^2-9x= | | 4p^2-11p-3= | | 91z+30z^2-30= | | 5x^2-3x=-4 | | 1*3+2*6= | | 22x^2-37xy+13y^2= | | 12x^2+85x+7= | | 2(4x-3)+x=3(2x-1)+2 | | 55r^2+14r-24= | | 3(2x+5)+5x=24 | | 3x-(x+1)=17 | | .48= | | 15y^2-29y+14= | | 3[6x-5(y-1)]= | | 3(2x-8)-2(x+9)= | | 3y=7(7y-4) | | 4[3x-4(7x+y)]= | | 266x+905y=173.54 | | 110(t)=-16t^2+110 | | -7m+33-2(m-1)=8m-(4m-3)-5m+8 | | 7x+12=x+30 | | y=-4.5+4x | | y=4x-4.5 | | 9x^4=7x^3-6-9x^2+7 | | (1+x)=1.016*1.02*1.075 | | 56w^2-19w=15 | | -[4z-(13z+10)]=10+(8z+0) | | 6x+13=-41 | | 4x+8(x-7)=4(x-8) | | 2x+13=-31 |

Equations solver categories