x^2-4.4x=4.16

Simple and best practice solution for x^2-4.4x=4.16 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=4.16 equation: 


Simplifying
x2 + -4.4x = 4.16

Reorder the terms:
-4.4x + x2 = 4.16

Solving
-4.4x + x2 = 4.16

Solving for variable 'x'.

Reorder the terms:
-4.16 + -4.4x + x2 = 4.16 + -4.16

Combine like terms: 4.16 + -4.16 = 0.00
-4.16 + -4.4x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '4.16' to each side of the equation.
-4.16 + -4.4x + 4.16 + x2 = 0.00 + 4.16

Reorder the terms:
-4.16 + 4.16 + -4.4x + x2 = 0.00 + 4.16

Combine like terms: -4.16 + 4.16 = 0.00
0.00 + -4.4x + x2 = 0.00 + 4.16
-4.4x + x2 = 0.00 + 4.16

Combine like terms: 0.00 + 4.16 = 4.16
-4.4x + x2 = 4.16

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 = 4.16 + 4.84

Reorder the terms:
4.84 + -4.4x + x2 = 4.16 + 4.84

Combine like terms: 4.16 + 4.84 = 9
4.84 + -4.4x + x2 = 9

Factor a perfect square on the left side:
(x + -2.2)(x + -2.2) = 9

Calculate the square root of the right side: 3

Break this problem into two subproblems by setting 
(x + -2.2) equal to 3 and -3.


Subproblem 1
x + -2.2 = 3

Simplifying
x + -2.2 = 3

Reorder the terms:
-2.2 + x = 3

Solving
-2.2 + x = 3

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 = 3 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + x = 3 + 2.2
x = 3 + 2.2

Combine like terms: 3 + 2.2 = 5.2
x = 5.2

Simplifying
x = 5.2


Subproblem 2
x + -2.2 = -3

Simplifying
x + -2.2 = -3

Reorder the terms:
-2.2 + x = -3

Solving
-2.2 + x = -3

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 = -3 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + x = -3 + 2.2
x = -3 + 2.2

Combine like terms: -3 + 2.2 = -0.8
x = -0.8

Simplifying
x = -0.8


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.2, -0.8}

See similar equations:

| y=3.484(.009)+.042 | | x^3=56.25 | | 12+5=6r | | 7v^2-42-35v=0 | | 5x^2+36x+64=0 | | 3k^2+72+33k=0 | | 2lnx-ln(3y)+3lnz= | | 5/(7-2x)0 | | .246=.269x+.109 | | 2+2(2w-2)=-4(5w-4)+9w | | 4(y+3)=-2(4y-7)+8y | | 5=3(t-4) | | y-19=4y+26 | | 25.6=x/2 | | 7(y+1)=5(y+6) | | 7x-2+5-4=76 | | 8x+7-3(2+4)=x | | 7y-14-12y=0 | | 4(2x-8)=36 | | 30000-8x=0 | | -10n+18=-9n-18 | | -10=9y-19 | | -4+9=16x-2-15x | | (2x+1)-3=11 | | (x+3)(x+1)=8 | | 49.10-5=x/2.10 | | 6x^2+66x=0 | | 3y^2-28y+60=0 | | (2xy)dx+(x^2+1)dy=0 | | 34-18=2(x-5) | | 45000-2x=0 | | 2l+2(90)=900 |

Equations solver categories