x^2+2x+9=16

Simple and best practice solution for x^2+2x+9=16 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+2x+9=16 equation: 


Simplifying
x2 + 2x + 9 = 16

Reorder the terms:
9 + 2x + x2 = 16

Solving
9 + 2x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
9 + -16 + 2x + x2 = 16 + -16

Combine like terms: 9 + -16 = -7
-7 + 2x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-7 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 2x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + 2x + x2 = 0 + 7

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

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

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 7 + 1

Reorder the terms:
1 + 2x + x2 = 7 + 1

Combine like terms: 7 + 1 = 8
1 + 2x + x2 = 8

Factor a perfect square on the left side:
(x + 1)(x + 1) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + 1) equal to 2.828427125 and -2.828427125.


Subproblem 1
x + 1 = 2.828427125

Simplifying
x + 1 = 2.828427125

Reorder the terms:
1 + x = 2.828427125

Solving
1 + x = 2.828427125

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 2.828427125 + -1

Combine like terms: 1 + -1 = 0
0 + x = 2.828427125 + -1
x = 2.828427125 + -1

Combine like terms: 2.828427125 + -1 = 1.828427125
x = 1.828427125

Simplifying
x = 1.828427125


Subproblem 2
x + 1 = -2.828427125

Simplifying
x + 1 = -2.828427125

Reorder the terms:
1 + x = -2.828427125

Solving
1 + x = -2.828427125

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -2.828427125 + -1

Combine like terms: 1 + -1 = 0
0 + x = -2.828427125 + -1
x = -2.828427125 + -1

Combine like terms: -2.828427125 + -1 = -3.828427125
x = -3.828427125

Simplifying
x = -3.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.828427125, -3.828427125}

See similar equations:

| 2/3k6 | | 5x+1=-3-2x-8 | | 17=m-8 | | d/3x | | 4n-7+n=8 | | ab=2fora | | 5-3(5-2x)=2(x-1) | | 14x+11=14x+2x | | -m+4=1 | | x+.13x=20 | | 2=-2-n | | r+(-12)=9 | | 3t^2/5/6t | | -m-1=3 | | -4x+2(x-5)=-3 | | -1/9tz | | x/-6=3 | | y+-5=37 | | 10x+20y=150 | | m+64=72 | | 19.2+2.8y=44.4 | | 1.2x=0.2x-7.3 | | (k+7)(k+7)=289 | | Y+10=5+10 | | 2(2x+3)+5(x-2)= | | Y+10=5+QP | | 3(5y-5)-(4y+8)= | | 27x+12=12x+177 | | 5x=x+10-4x | | -7=-3+n | | 2y=(rx-t) | | 16x-8=6x+152 |

Equations solver categories