x^2+22x+43.12=0

Simple and best practice solution for x^2+22x+43.12=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+43.12=0 equation: 


Simplifying
x2 + 22x + 43.12 = 0

Reorder the terms:
43.12 + 22x + x2 = 0

Solving
43.12 + 22x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-43.12' to each side of the equation.
43.12 + 22x + -43.12 + x2 = 0 + -43.12

Reorder the terms:
43.12 + -43.12 + 22x + x2 = 0 + -43.12

Combine like terms: 43.12 + -43.12 = 0.00
0.00 + 22x + x2 = 0 + -43.12
22x + x2 = 0 + -43.12

Combine like terms: 0 + -43.12 = -43.12
22x + x2 = -43.12

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 = -43.12 + 121

Reorder the terms:
121 + 22x + x2 = -43.12 + 121

Combine like terms: -43.12 + 121 = 77.88
121 + 22x + x2 = 77.88

Factor a perfect square on the left side:
(x + 11)(x + 11) = 77.88

Calculate the square root of the right side: 8.824964589

Break this problem into two subproblems by setting 
(x + 11) equal to 8.824964589 and -8.824964589.


Subproblem 1
x + 11 = 8.824964589

Simplifying
x + 11 = 8.824964589

Reorder the terms:
11 + x = 8.824964589

Solving
11 + x = 8.824964589

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 = 8.824964589 + -11

Combine like terms: 11 + -11 = 0
0 + x = 8.824964589 + -11
x = 8.824964589 + -11

Combine like terms: 8.824964589 + -11 = -2.175035411
x = -2.175035411

Simplifying
x = -2.175035411


Subproblem 2
x + 11 = -8.824964589

Simplifying
x + 11 = -8.824964589

Reorder the terms:
11 + x = -8.824964589

Solving
11 + x = -8.824964589

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 = -8.824964589 + -11

Combine like terms: 11 + -11 = 0
0 + x = -8.824964589 + -11
x = -8.824964589 + -11

Combine like terms: -8.824964589 + -11 = -19.824964589
x = -19.824964589

Simplifying
x = -19.824964589


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.175035411, -19.824964589}

See similar equations:

| -1.5x^2-0.5x=0 | | (w)(w+1)=110 | | h=-16t^2+64t+30 | | 16m^2-1+15m=0 | | -2x+4y=-4(1-2y) | | 4y+-2x=-4(1-2y) | | x+9y=5 | | (2x-1)/(3)-(4x-7)/(5)=(2-5x)/(9) | | 5x^2-43=-24 | | 6a/5-9/5 | | 6a/5+9/5 | | 3a/5-6/5 | | (-9y-4z)(-7)= | | 3a/5+6/5 | | 7/9x-6=17 | | 50-2x=9x+7x | | 6p^2=-25p-4 | | 5x+25y=-75 | | -(12/6) | | -(72/36) | | -72/36 | | 0,212=63,6x+0,0002 | | 36x+72/1 | | 8x-1=-41 | | 3/4u-20+1 | | 3(4x-3)-2(3x-1)=-7-x | | 2x^2-16=-25 | | (36x+72)*6/(6*1) | | n=5N | | (36x+72/6)*6 | | 7-1,1x=9,4x-2,2x | | 36x+72/6 |

Equations solver categories