2x(x+3)=44

Simple and best practice solution for 2x(x+3)=44 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 2x(x+3)=44 equation: 


Simplifying
2x(x + 3) = 44

Reorder the terms:
2x(3 + x) = 44
(3 * 2x + x * 2x) = 44
(6x + 2x2) = 44

Solving
6x + 2x2 = 44

Solving for variable 'x'.

Reorder the terms:
-44 + 6x + 2x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + 3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-22 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
-22 + 3x + x2 = 0

Solving
-22 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '22' to each side of the equation.
-22 + 3x + 22 + x2 = 0 + 22

Reorder the terms:
-22 + 22 + 3x + x2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 3x + x2 = 0 + 22
3x + x2 = 0 + 22

Combine like terms: 0 + 22 = 22
3x + x2 = 22

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 22 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 22 + 2.25

Combine like terms: 22 + 2.25 = 24.25
2.25 + 3x + x2 = 24.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(x + 1.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
x + 1.5 = 4.924428901

Simplifying
x + 1.5 = 4.924428901

Reorder the terms:
1.5 + x = 4.924428901

Solving
1.5 + x = 4.924428901

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 4.924428901 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 4.924428901 + -1.5
x = 4.924428901 + -1.5

Combine like terms: 4.924428901 + -1.5 = 3.424428901
x = 3.424428901

Simplifying
x = 3.424428901


Subproblem 2
x + 1.5 = -4.924428901

Simplifying
x + 1.5 = -4.924428901

Reorder the terms:
1.5 + x = -4.924428901

Solving
1.5 + x = -4.924428901

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -4.924428901 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -4.924428901 + -1.5
x = -4.924428901 + -1.5

Combine like terms: -4.924428901 + -1.5 = -6.424428901
x = -6.424428901

Simplifying
x = -6.424428901


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.424428901, -6.424428901}
Solution
x = {3.424428901, -6.424428901}

See similar equations:

| 5(3X+2)-3X=34 | | 10x^4+28x^3y-6x^2y^2= | | 7x=x^2-8 | | -(W+0.2)=0.3(4-w)(Y+3) | | X=5+-7 | | 1/3(4x-6)=2x-4 | | 0.85x+.05(14-x)=0.10(-121) | | 21x/108=56 | | -3b=-bx | | y+0.2=0.6y | | 4x+2y=800 | | 4x+3=8+2x+7 | | 2-8/5-3/45 | | 1.5x=327.5 | | .30x-0.05(x-16)=-3.7 | | 2a+b+(a+1)=76 | | 9(z+3)-4(z-3)=2(z-1)+2(z-2) | | -x^2-1=-65 | | X(2x-6)+x(4x-3)=(6x+9)(x-6) | | =-9(8k+2) | | C^5/6=2 | | x^2/2=0 | | 8x-4[2x-5(3x+1)]-2[x-(x-1)]=0 | | 3x-9+3x=-33 | | 406.6/1.4 | | M=W+Wrt | | 4[24-3(7x+6)]-6(4-14x)=0 | | -14=-3p+8-8p | | 124b=4 | | 6xy-2y+7=0 | | -3x+8(-3x+5)=-1-3(-4-x) | | 1.4r+30=436.60 |

Equations solver categories