x^2-9x-44=0

Simple and best practice solution for x^2-9x-44=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^2-9x-44=0 equation: 


Simplifying
x2 + -9x + -44 = 0

Reorder the terms:
-44 + -9x + x2 = 0

Solving
-44 + -9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '44' to each side of the equation.
-44 + -9x + 44 + x2 = 0 + 44

Reorder the terms:
-44 + 44 + -9x + x2 = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -9x + x2 = 0 + 44
-9x + x2 = 0 + 44

Combine like terms: 0 + 44 = 44
-9x + x2 = 44

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = 44 + 20.25

Reorder the terms:
20.25 + -9x + x2 = 44 + 20.25

Combine like terms: 44 + 20.25 = 64.25
20.25 + -9x + x2 = 64.25

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = 64.25

Calculate the square root of the right side: 8.015609771

Break this problem into two subproblems by setting 
(x + -4.5) equal to 8.015609771 and -8.015609771.


Subproblem 1
x + -4.5 = 8.015609771

Simplifying
x + -4.5 = 8.015609771

Reorder the terms:
-4.5 + x = 8.015609771

Solving
-4.5 + x = 8.015609771

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = 8.015609771 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = 8.015609771 + 4.5
x = 8.015609771 + 4.5

Combine like terms: 8.015609771 + 4.5 = 12.515609771
x = 12.515609771

Simplifying
x = 12.515609771


Subproblem 2
x + -4.5 = -8.015609771

Simplifying
x + -4.5 = -8.015609771

Reorder the terms:
-4.5 + x = -8.015609771

Solving
-4.5 + x = -8.015609771

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = -8.015609771 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = -8.015609771 + 4.5
x = -8.015609771 + 4.5

Combine like terms: -8.015609771 + 4.5 = -3.515609771
x = -3.515609771

Simplifying
x = -3.515609771


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.515609771, -3.515609771}

See similar equations:

| 3x=11.6 | | 2x+15=39+4x | | 13x-6=11x+5 | | (3x-12x)(5x+7)=0 | | (3x+12x)(5x+7)=0 | | 2.50+0.50m=1.00+.75m | | 3(a-3)+1=3(a+11) | | (3x-12x)(5x-7)=0 | | log^3(-2x-3)=2 | | Log^3(216)=x | | -(x+9)=-2(x-4) | | -1.06=j-4.99 | | 4x-13=2x-11 | | 5x-8-3x+10=0 | | 17x-(x*3)=3+(x*7) | | 4+4(8+3n)=5(3+3n) | | y-2=2y-11 | | 2x-35=-7x+10 | | 4q-24=12 | | 33=.75-n | | 1-2=0 | | -t=p(t-10) | | 1.1-(-3.47)/-0.5 | | x^2=351 | | 2f-21=11 | | 5+7f=-11 | | 2x^2+77=0 | | 4K-6=2k-16-2fork | | N^2+121=0 | | -9b-12=8-4b | | 9a=3(-4+5a) | | 3+5j-6=2j-18 |

Equations solver categories