x^2+22x+25=0

Simple and best practice solution for x^2+22x+25=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+22x+25=0 equation: 


Simplifying
x2 + 22x + 25 = 0

Reorder the terms:
25 + 22x + x2 = 0

Solving
25 + 22x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 22x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + 22x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 22x + x2 = 0 + -25
22x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
22x + x2 = -25

The x term is 22x.  Take half its coefficient (11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
22x + 121 + x2 = -25 + 121

Reorder the terms:
121 + 22x + x2 = -25 + 121

Combine like terms: -25 + 121 = 96
121 + 22x + x2 = 96

Factor a perfect square on the left side:
(x + 11)(x + 11) = 96

Calculate the square root of the right side: 9.797958971

Break this problem into two subproblems by setting 
(x + 11) equal to 9.797958971 and -9.797958971.


Subproblem 1
x + 11 = 9.797958971

Simplifying
x + 11 = 9.797958971

Reorder the terms:
11 + x = 9.797958971

Solving
11 + x = 9.797958971

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + x = 9.797958971 + -11

Combine like terms: 11 + -11 = 0
0 + x = 9.797958971 + -11
x = 9.797958971 + -11

Combine like terms: 9.797958971 + -11 = -1.202041029
x = -1.202041029

Simplifying
x = -1.202041029


Subproblem 2
x + 11 = -9.797958971

Simplifying
x + 11 = -9.797958971

Reorder the terms:
11 + x = -9.797958971

Solving
11 + x = -9.797958971

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + x = -9.797958971 + -11

Combine like terms: 11 + -11 = 0
0 + x = -9.797958971 + -11
x = -9.797958971 + -11

Combine like terms: -9.797958971 + -11 = -20.797958971
x = -20.797958971

Simplifying
x = -20.797958971


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.202041029, -20.797958971}

See similar equations:

| -75y^2-25y+2=0 | | y=10-5/2x | | 2(2x+5)+2(x)=106 | | 2m-3=15 | | 2+9n+-2n= | | x+1=(7x+15)(7x+15) | | 5x+6+6x=28 | | -75y-25y+2=0 | | 42-(2)x=82 | | 5+2a=-9 | | 10(t+10)=140 | | -0.8=-4r | | 48=2x-2(-5x+18) | | c=2*8-4 | | 15a-10=9a+2 | | 1/2x+(x-35)+x+(x-46)=360 | | x^2+8x+16=2x^2+18x+37 | | 6-3/3x=-8 | | 7+6-31/26 | | 20-2(w+1)=12w-2(12+w) | | 2x+36000-4x=30000 | | 4x=4x+x+1 | | 36/x-6=0 | | 16=2(w-2)+2w | | 3y^5z^6-4z^3= | | 2x-3+4x=-9 | | y+3=1 | | 0.33333333x^2-0.11111111x-0.22222222=0 | | 16x+20-86= | | 3(.6667)+3=d | | -2x+36000-4x=30000 | | 3m+5-6=3(m-6) |

Equations solver categories