144=9x(x+9)

Simple and best practice solution for 144=9x(x+9) 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 144=9x(x+9) equation: 


Simplifying
144 = 9x(x + 9)

Reorder the terms:
144 = 9x(9 + x)
144 = (9 * 9x + x * 9x)
144 = (81x + 9x2)

Solving
144 = 81x + 9x2

Solving for variable 'x'.

Reorder the terms:
144 + -81x + -9x2 = 81x + -81x + 9x2 + -9x2

Combine like terms: 81x + -81x = 0
144 + -81x + -9x2 = 0 + 9x2 + -9x2
144 + -81x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
144 + -81x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(16 + -9x + -1x2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(16 + -9x + -1x2)' equal to zero and attempt to solve:

Simplifying
16 + -9x + -1x2 = 0

Solving
16 + -9x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-16 + 9x + x2 = 0

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + 9x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + 9x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9x + x2 = 0 + 16
9x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
9x + x2 = 16

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 = 16 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 16 + 20.25

Combine like terms: 16 + 20.25 = 36.25
20.25 + 9x + x2 = 36.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 36.25

Calculate the square root of the right side: 6.020797289

Break this problem into two subproblems by setting 
(x + 4.5) equal to 6.020797289 and -6.020797289.


Subproblem 1
x + 4.5 = 6.020797289

Simplifying
x + 4.5 = 6.020797289

Reorder the terms:
4.5 + x = 6.020797289

Solving
4.5 + x = 6.020797289

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 = 6.020797289 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 6.020797289 + -4.5
x = 6.020797289 + -4.5

Combine like terms: 6.020797289 + -4.5 = 1.520797289
x = 1.520797289

Simplifying
x = 1.520797289


Subproblem 2
x + 4.5 = -6.020797289

Simplifying
x + 4.5 = -6.020797289

Reorder the terms:
4.5 + x = -6.020797289

Solving
4.5 + x = -6.020797289

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 = -6.020797289 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -6.020797289 + -4.5
x = -6.020797289 + -4.5

Combine like terms: -6.020797289 + -4.5 = -10.520797289
x = -10.520797289

Simplifying
x = -10.520797289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.520797289, -10.520797289}
Solution
x = {1.520797289, -10.520797289}

See similar equations:

| -8n=24 | | 8y+36=4(y+6) | | -1470-5x= | | 6(x+5)(3x+8)= | | 6(y-7)=9y-48 | | -5w+12=-7(w-4) | | 3x*y=90 | | 7x(7+x)=112 | | D-27=-63 | | x+2x+3x=1+2+3 | | 13x-6=2x+7 | | 4(x)-7(0)=14 | | 48=-7x-6x+9 | | (4x-10)=(x+38) | | x^2+70=17x | | 4(0)-7y=14 | | 92=-5x-2x+8 | | 34=4y | | 53=3x+5x+5 | | x-30=-9-6x | | 4x-8=2+4x+9x | | 0.25[5]+0.75x=0.35[5+x] | | w/8=-32 | | -210-5=0 | | -45=-5r | | 13x-5=-2x+7 | | 36=y/-6 | | (2x-1)=(x+3) | | 9x-7=12x-13 | | 45-x=5 | | r-12=-9 | | 7n-5=8n+12 |

Equations solver categories