3x(x+8)=66

Simple and best practice solution for 3x(x+8)=66 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 3x(x+8)=66 equation: 


Simplifying
3x(x + 8) = 66

Reorder the terms:
3x(8 + x) = 66
(8 * 3x + x * 3x) = 66
(24x + 3x2) = 66

Solving
24x + 3x2 = 66

Solving for variable 'x'.

Reorder the terms:
-66 + 24x + 3x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-66 + 24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-22 + 8x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-22 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
-22 + 8x + x2 = 0

Solving
-22 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '22' to each side of the equation.
-22 + 8x + 22 + x2 = 0 + 22

Reorder the terms:
-22 + 22 + 8x + x2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 8x + x2 = 0 + 22
8x + x2 = 0 + 22

Combine like terms: 0 + 22 = 22
8x + x2 = 22

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 22 + 16

Reorder the terms:
16 + 8x + x2 = 22 + 16

Combine like terms: 22 + 16 = 38
16 + 8x + x2 = 38

Factor a perfect square on the left side:
(x + 4)(x + 4) = 38

Calculate the square root of the right side: 6.164414003

Break this problem into two subproblems by setting 
(x + 4) equal to 6.164414003 and -6.164414003.


Subproblem 1
x + 4 = 6.164414003

Simplifying
x + 4 = 6.164414003

Reorder the terms:
4 + x = 6.164414003

Solving
4 + x = 6.164414003

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x = 6.164414003 + -4

Combine like terms: 4 + -4 = 0
0 + x = 6.164414003 + -4
x = 6.164414003 + -4

Combine like terms: 6.164414003 + -4 = 2.164414003
x = 2.164414003

Simplifying
x = 2.164414003


Subproblem 2
x + 4 = -6.164414003

Simplifying
x + 4 = -6.164414003

Reorder the terms:
4 + x = -6.164414003

Solving
4 + x = -6.164414003

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x = -6.164414003 + -4

Combine like terms: 4 + -4 = 0
0 + x = -6.164414003 + -4
x = -6.164414003 + -4

Combine like terms: -6.164414003 + -4 = -10.164414003
x = -10.164414003

Simplifying
x = -10.164414003


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.164414003, -10.164414003}
Solution
x = {2.164414003, -10.164414003}

See similar equations:

| -36=6r | | .008=3.484x+.042 | | 7=x-14 | | -4y-2z=10 | | 11=11+k | | -(2x-8)-(22-x)=2 | | 2(2k-9)-3(3k+4)-19k= | | .024=3.484x+.042 | | 6(2x+2)+6(3x+3)+2=30x+32 | | 7v=-42 | | 3xX+24=66 | | .048=3.484x+.042 | | a+4=3 | | 3xX+8=66 | | 85=5y-15 | | 13-3(2x+5y)= | | 9c^2+12c-32=0 | | Q-13=50 | | .057=3.484x+.042 | | 2(0)=-18 | | -3=2+k | | 14x-17=12x-3 | | .054=3.484x+.042 | | (3x)(lnx)=0 | | 23-7x=-5 | | 3xln(x)=0 | | -6+7(-3c+4)= | | .051=3.484x+.042 | | 1+ln(x+3)+ln(x-2)=ln(x+1) | | m=1/2=(-2,-8) | | (y+6)-(7y+5)= | | 10y-4x=90 |

Equations solver categories