(8+2x)(24+2x)=228

Simple and best practice solution for (8+2x)(24+2x)=228 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 (8+2x)(24+2x)=228 equation: 


Simplifying
(8 + 2x)(24 + 2x) = 228

Multiply (8 + 2x) * (24 + 2x)
(8(24 + 2x) + 2x * (24 + 2x)) = 228
((24 * 8 + 2x * 8) + 2x * (24 + 2x)) = 228
((192 + 16x) + 2x * (24 + 2x)) = 228
(192 + 16x + (24 * 2x + 2x * 2x)) = 228
(192 + 16x + (48x + 4x2)) = 228

Combine like terms: 16x + 48x = 64x
(192 + 64x + 4x2) = 228

Solving
192 + 64x + 4x2 = 228

Solving for variable 'x'.

Reorder the terms:
192 + -228 + 64x + 4x2 = 228 + -228

Combine like terms: 192 + -228 = -36
-36 + 64x + 4x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-36 + 64x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 16x + x2) = 0

Ignore the factor 4.

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

Simplifying
-9 + 16x + x2 = 0

Solving
-9 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = 9 + 64

Reorder the terms:
64 + 16x + x2 = 9 + 64

Combine like terms: 9 + 64 = 73
64 + 16x + x2 = 73

Factor a perfect square on the left side:
(x + 8)(x + 8) = 73

Calculate the square root of the right side: 8.544003745

Break this problem into two subproblems by setting 
(x + 8) equal to 8.544003745 and -8.544003745.


Subproblem 1
x + 8 = 8.544003745

Simplifying
x + 8 = 8.544003745

Reorder the terms:
8 + x = 8.544003745

Solving
8 + x = 8.544003745

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = 8.544003745 + -8

Combine like terms: 8 + -8 = 0
0 + x = 8.544003745 + -8
x = 8.544003745 + -8

Combine like terms: 8.544003745 + -8 = 0.544003745
x = 0.544003745

Simplifying
x = 0.544003745


Subproblem 2
x + 8 = -8.544003745

Simplifying
x + 8 = -8.544003745

Reorder the terms:
8 + x = -8.544003745

Solving
8 + x = -8.544003745

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = -8.544003745 + -8

Combine like terms: 8 + -8 = 0
0 + x = -8.544003745 + -8
x = -8.544003745 + -8

Combine like terms: -8.544003745 + -8 = -16.544003745
x = -16.544003745

Simplifying
x = -16.544003745


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.544003745, -16.544003745}
Solution
x = {0.544003745, -16.544003745}

See similar equations:

| 1/3+1/3+1/3*4= | | (X-1)(x+3)=5(x-1) | | 8y=40x+4 | | 1/3+1/3+1/3= | | 3y-6+7y+4y= | | 5k-6= | | 8*x^2-72x-288=0 | | d^2-4d-96= | | x/(10-x)=0.19 | | -.75x+.25=.5x-.75 | | 18+7x-12+5= | | 13n=-104 | | 97=7x-6(x-18) | | -5x^2=20 | | 92=-4(1-4r) | | ln(X+5)-2=ln(7-x)+3 | | x^3-7x^2-53x+315=0 | | 3x+2-= | | -2y-18=5y+3 | | 7r-3r+5=1+10-4r | | (x^2-9)(x+2)=0 | | 7x-12+2x+9+2x+9=180 | | 2*f=-46 | | 6x+3+6-2= | | 3/4=45 | | y-0.5y=4.5 | | 9a+8-7= | | 0.2(3+p)=4.6 | | X=1/2(3X-2)+2 | | -16+3n=8n-3(n-4) | | X=1/2(3X-2+2) | | 20y^2=21y-4 |

Equations solver categories