x(x+9)=180

Simple and best practice solution for x(x+9)=180 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(x+9)=180 equation:


Simplifying
x(x + 9) = 180

Reorder the terms:
x(9 + x) = 180
(9 * x + x * x) = 180
(9x + x2) = 180

Solving
9x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 9x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '180' to each side of the equation.
-180 + 9x + 180 + x2 = 0 + 180

Reorder the terms:
-180 + 180 + 9x + x2 = 0 + 180

Combine like terms: -180 + 180 = 0
0 + 9x + x2 = 0 + 180
9x + x2 = 0 + 180

Combine like terms: 0 + 180 = 180
9x + x2 = 180

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 = 180 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 180 + 20.25

Combine like terms: 180 + 20.25 = 200.25
20.25 + 9x + x2 = 200.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 200.25

Calculate the square root of the right side: 14.150971698

Break this problem into two subproblems by setting 
(x + 4.5) equal to 14.150971698 and -14.150971698.

Subproblem 1

x + 4.5 = 14.150971698 Simplifying x + 4.5 = 14.150971698 Reorder the terms: 4.5 + x = 14.150971698 Solving 4.5 + x = 14.150971698 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 = 14.150971698 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 14.150971698 + -4.5 x = 14.150971698 + -4.5 Combine like terms: 14.150971698 + -4.5 = 9.650971698 x = 9.650971698 Simplifying x = 9.650971698

Subproblem 2

x + 4.5 = -14.150971698 Simplifying x + 4.5 = -14.150971698 Reorder the terms: 4.5 + x = -14.150971698 Solving 4.5 + x = -14.150971698 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 = -14.150971698 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -14.150971698 + -4.5 x = -14.150971698 + -4.5 Combine like terms: -14.150971698 + -4.5 = -18.650971698 x = -18.650971698 Simplifying x = -18.650971698

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.650971698, -18.650971698}

See similar equations:

| 7w-21=-7(w+7) | | 12/15=x/55 | | 6x+234=14x-6 | | 5-3x=7x+13 | | c=2(pi)4/2 | | 2x-16=2x-6 | | M^2+10m-17=0 | | 16t^2+40t=555 | | 6x-5y+7-3-x= | | -7x-9=4 | | 2v+4=-2(v+2) | | .9(3x+6)=1.8-x-2 | | -4=5(y-5)-8y | | (6+9i)(5-23i)= | | a+2=4a | | -3.1=v-3.7 | | 1-2y=6-7y | | 74=x+(x+6.5) | | 4y^2-3000-20y=0 | | 4x+13=32-5x | | x-24=0.3x | | (3x^2-4x)-(5x^2+8x-10)=equation | | 4a+3a=9 | | -x=3x+1 | | 3x-2(2x-2)=3 | | -2/7÷2 | | 5(n-9)=8(n) | | 2/7-4/7 | | ln(x-3)-ln(5)=-lnx | | 6x+11y+19=180 | | 8x+8y-5(3x-3y)= | | 42y+4=8 |

Equations solver categories