x^2+20x+16=0

Simple and best practice solution for x^2+20x+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+20x+16=0 equation: 


Simplifying
x2 + 20x + 16 = 0

Reorder the terms:
16 + 20x + x2 = 0

Solving
16 + 20x + 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 + 20x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 20x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 20x + x2 = 0 + -16
20x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
20x + x2 = -16

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = -16 + 100

Reorder the terms:
100 + 20x + x2 = -16 + 100

Combine like terms: -16 + 100 = 84
100 + 20x + x2 = 84

Factor a perfect square on the left side:
(x + 10)(x + 10) = 84

Calculate the square root of the right side: 9.16515139

Break this problem into two subproblems by setting 
(x + 10) equal to 9.16515139 and -9.16515139.


Subproblem 1
x + 10 = 9.16515139

Simplifying
x + 10 = 9.16515139

Reorder the terms:
10 + x = 9.16515139

Solving
10 + x = 9.16515139

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + x = 9.16515139 + -10

Combine like terms: 10 + -10 = 0
0 + x = 9.16515139 + -10
x = 9.16515139 + -10

Combine like terms: 9.16515139 + -10 = -0.83484861
x = -0.83484861

Simplifying
x = -0.83484861


Subproblem 2
x + 10 = -9.16515139

Simplifying
x + 10 = -9.16515139

Reorder the terms:
10 + x = -9.16515139

Solving
10 + x = -9.16515139

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + x = -9.16515139 + -10

Combine like terms: 10 + -10 = 0
0 + x = -9.16515139 + -10
x = -9.16515139 + -10

Combine like terms: -9.16515139 + -10 = -19.16515139
x = -19.16515139

Simplifying
x = -19.16515139


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.83484861, -19.16515139}

See similar equations:

| 4*a=52 | | f(x)=x^3-4x^2-7 | | 9x-8+8=3x+19+8 | | 11a=7 | | 4x^2+7x+j=0 | | 6x+22=1x-59 | | 108/x=8 | | 75/x=15 | | 75-x=15 | | 108-x=8 | | 18+x=108 | | 15a-10=5a-40 | | 14x^2+15x=11 | | 4*a*5=6 | | 5a-3a=24 | | 3(2x-4)=x | | 54x+6=8x-6 | | x+14=4x+10 | | 5x+(2x+4)+(x-3)=28+(3x-2)-10 | | 3(2z+5)+5=28 | | z-5z+10=13 | | 5+x=75 | | 2x+7x+5=41 | | z-15=3 | | 5x-7=-14 | | x^5=-7 | | 9-4+z=9 | | y*4-14=25 | | z/3+7=19 | | 2-2y=12 | | 1-2y=12 | | 9+x-12=21 |

Equations solver categories