2x(x+9)=-4

Simple and best practice solution for 2x(x+9)=-4 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+9)=-4 equation:


Simplifying
2x(x + 9) = -4

Reorder the terms:
2x(9 + x) = -4
(9 * 2x + x * 2x) = -4
(18x + 2x2) = -4

Solving
18x + 2x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 18x + 2x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 18x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 9x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 9x + x2)' equal to zero and attempt to solve:

Simplifying
2 + 9x + x2 = 0

Solving
2 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 9x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 9x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x + x2 = 0 + -2
9x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
9x + x2 = -2

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 = -2 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -2 + 20.25

Combine like terms: -2 + 20.25 = 18.25
20.25 + 9x + x2 = 18.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 18.25

Calculate the square root of the right side: 4.272001873

Break this problem into two subproblems by setting 
(x + 4.5) equal to 4.272001873 and -4.272001873.


Subproblem 1
x + 4.5 = 4.272001873

Simplifying
x + 4.5 = 4.272001873

Reorder the terms:
4.5 + x = 4.272001873

Solving
4.5 + x = 4.272001873

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 = 4.272001873 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 4.272001873 + -4.5
x = 4.272001873 + -4.5

Combine like terms: 4.272001873 + -4.5 = -0.227998127
x = -0.227998127

Simplifying
x = -0.227998127


Subproblem 2
x + 4.5 = -4.272001873

Simplifying
x + 4.5 = -4.272001873

Reorder the terms:
4.5 + x = -4.272001873

Solving
4.5 + x = -4.272001873

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 = -4.272001873 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -4.272001873 + -4.5
x = -4.272001873 + -4.5

Combine like terms: -4.272001873 + -4.5 = -8.772001873
x = -8.772001873

Simplifying
x = -8.772001873


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.227998127, -8.772001873}
Solution
x = {-0.227998127, -8.772001873}

See similar equations:

| -3=3-h | | 5x^2-15x/5x | | 2y=y+18 | | (W+10)+50+w=180 | | -12n^2-11n+15=0 | | 7x-32+9x-26=180 | | (4n^2-11n)+(5n^2-4n)= | | 1y=7x-14 | | 7x+2(3x+4)= | | 2x^2-28x+26=0 | | (-28)(0)= | | x/5-7=-6 | | -20-40= | | 1n(x+1)-1nx=2 | | 14+-72= | | 8-x=17.5 | | 3xy-6x+y=2 | | 8.1+w=14.5 | | 5/6^5 | | -51+(-49)= | | 10.2-t=3.5 | | (-5/6)^ | | 0.50x+0.20(160)=0.25(52) | | (3s-2)*(3s)*(3s+2)= | | S-2.5=0.4 | | 10-(4x-5)=2-5x | | Y=x^3-7x^2+9x+3 | | 15.2-r=8.9 | | (4u+7)(5u-8)=0 | | 100/2500 | | 39x+35=464 | | 1/3x-6=12 |

Equations solver categories