3x(x+6)=26

Simple and best practice solution for 3x(x+6)=26 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+6)=26 equation: 


Simplifying
3x(x + 6) = 26

Reorder the terms:
3x(6 + x) = 26
(6 * 3x + x * 3x) = 26
(18x + 3x2) = 26

Solving
18x + 3x2 = 26

Solving for variable 'x'.

Reorder the terms:
-26 + 18x + 3x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + 18x + 3x2 = 0

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

Divide each side by '3'.
-8.666666667 + 6x + x2 = 0

Move the constant term to the right:

Add '8.666666667' to each side of the equation.
-8.666666667 + 6x + 8.666666667 + x2 = 0 + 8.666666667

Reorder the terms:
-8.666666667 + 8.666666667 + 6x + x2 = 0 + 8.666666667

Combine like terms: -8.666666667 + 8.666666667 = 0.000000000
0.000000000 + 6x + x2 = 0 + 8.666666667
6x + x2 = 0 + 8.666666667

Combine like terms: 0 + 8.666666667 = 8.666666667
6x + x2 = 8.666666667

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 8.666666667 + 9

Reorder the terms:
9 + 6x + x2 = 8.666666667 + 9

Combine like terms: 8.666666667 + 9 = 17.666666667
9 + 6x + x2 = 17.666666667

Factor a perfect square on the left side:
(x + 3)(x + 3) = 17.666666667

Calculate the square root of the right side: 4.203173404

Break this problem into two subproblems by setting 
(x + 3) equal to 4.203173404 and -4.203173404.


Subproblem 1
x + 3 = 4.203173404

Simplifying
x + 3 = 4.203173404

Reorder the terms:
3 + x = 4.203173404

Solving
3 + x = 4.203173404

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = 4.203173404 + -3

Combine like terms: 3 + -3 = 0
0 + x = 4.203173404 + -3
x = 4.203173404 + -3

Combine like terms: 4.203173404 + -3 = 1.203173404
x = 1.203173404

Simplifying
x = 1.203173404


Subproblem 2
x + 3 = -4.203173404

Simplifying
x + 3 = -4.203173404

Reorder the terms:
3 + x = -4.203173404

Solving
3 + x = -4.203173404

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = -4.203173404 + -3

Combine like terms: 3 + -3 = 0
0 + x = -4.203173404 + -3
x = -4.203173404 + -3

Combine like terms: -4.203173404 + -3 = -7.203173404
x = -7.203173404

Simplifying
x = -7.203173404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.203173404, -7.203173404}

See similar equations:

| 22x+6x= | | -6+5c=15+c | | X=10X-3 | | 4z-5=29 | | 7e+2=3e-8 | | 3m-(1-m)=2m | | 7-3y-1=-2y | | 14x=91 | | 3m-(-m)=2m | | s=2t^2-t+5 | | 5/500 | | x*0.01=5 | | 3y-5+y=-2y+7 | | 6x^2-44=0 | | 1/y=10000-x | | X^4=5.7 | | 9x+21x=14x | | x^2-100000x+3000000=0 | | 0-6n(4n-1)= | | 4s-29=87 | | 24x^2+156x-84=0 | | y=(x^2)+7x | | -5x^6+6x^5-1=0 | | X^2-2lnx=0 | | tan64=5/x | | 3m=3-m | | 569.25=x-0.25x | | x=4x/3-18/3 | | x=4x-18/3 | | x=4x-18 | | y=[x/153]-15 | | 4P+10W=350WHATISP |

Equations solver categories