x^2-4.4x=-3.84

Simple and best practice solution for x^2-4.4x=-3.84 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^2-4.4x=-3.84 equation: 


Simplifying
x2 + -4.4x = -3.84

Reorder the terms:
-4.4x + x2 = -3.84

Solving
-4.4x + x2 = -3.84

Solving for variable 'x'.

Reorder the terms:
3.84 + -4.4x + x2 = -3.84 + 3.84

Combine like terms: -3.84 + 3.84 = 0.00
3.84 + -4.4x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-3.84' to each side of the equation.
3.84 + -4.4x + -3.84 + x2 = 0.00 + -3.84

Reorder the terms:
3.84 + -3.84 + -4.4x + x2 = 0.00 + -3.84

Combine like terms: 3.84 + -3.84 = 0.00
0.00 + -4.4x + x2 = 0.00 + -3.84
-4.4x + x2 = 0.00 + -3.84

Combine like terms: 0.00 + -3.84 = -3.84
-4.4x + x2 = -3.84

The x term is -4.4x.  Take half its coefficient (-2.2).
Square it (4.84) and add it to both sides.

Add '4.84' to each side of the equation.
-4.4x + 4.84 + x2 = -3.84 + 4.84

Reorder the terms:
4.84 + -4.4x + x2 = -3.84 + 4.84

Combine like terms: -3.84 + 4.84 = 1
4.84 + -4.4x + x2 = 1

Factor a perfect square on the left side:
(x + -2.2)(x + -2.2) = 1

Calculate the square root of the right side: 1

Break this problem into two subproblems by setting 
(x + -2.2) equal to 1 and -1.


Subproblem 1
x + -2.2 = 1

Simplifying
x + -2.2 = 1

Reorder the terms:
-2.2 + x = 1

Solving
-2.2 + x = 1

Solving for variable 'x'.

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

Add '2.2' to each side of the equation.
-2.2 + 2.2 + x = 1 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + x = 1 + 2.2
x = 1 + 2.2

Combine like terms: 1 + 2.2 = 3.2
x = 3.2

Simplifying
x = 3.2


Subproblem 2
x + -2.2 = -1

Simplifying
x + -2.2 = -1

Reorder the terms:
-2.2 + x = -1

Solving
-2.2 + x = -1

Solving for variable 'x'.

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

Add '2.2' to each side of the equation.
-2.2 + 2.2 + x = -1 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + x = -1 + 2.2
x = -1 + 2.2

Combine like terms: -1 + 2.2 = 1.2
x = 1.2

Simplifying
x = 1.2


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.2, 1.2}

See similar equations:

| 7a-9-6a+4=-4 | | -4.5-8=12.5 | | 9x-27=6x-12 | | 5x^2-6xy+5y^2=1 | | 4x^3-x^4=30 | | 3x^2-2(4)+3=45 | | 17v^2=-3v^3-14v | | 5-2y+3y-7=-1 | | 7n^2-17n+3=0 | | -15g=-g^3-14g^2 | | 9m+5n-4m+8n= | | y-4-3(-4/3) | | 224=-v+60 | | 5r+10-3p-6+4p-4r= | | -x+202=149 | | 3/-5x=-18.6 | | 247=136-y | | 3.3x+1.3=11.2 | | 3c+2=c+14 | | -29u^2-25=46u^2+8 | | y=4-3(-1.33) | | 3(x-2)=25 | | 4t^2+(14t(t+0.5))*0.5=24 | | 60-u=187 | | 5/8z=40 | | -64g=-9g^3 | | x+60=27 | | x+19=-14 | | -6g^2-5g+3=0 | | -6v=-12/7 | | 2x-5=6+4x-11+3 | | -8=4/9v |

Equations solver categories