4x(x+11)=24

Simple and best practice solution for 4x(x+11)=24 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 4x(x+11)=24 equation: 


Simplifying
4x(x + 11) = 24

Reorder the terms:
4x(11 + x) = 24
(11 * 4x + x * 4x) = 24
(44x + 4x2) = 24

Solving
44x + 4x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 44x + 4x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 44x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 11x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-6 + 11x + x2)' equal to zero and attempt to solve:

Simplifying
-6 + 11x + x2 = 0

Solving
-6 + 11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 11x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + 11x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 11x + x2 = 0 + 6
11x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
11x + x2 = 6

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = 6 + 30.25

Reorder the terms:
30.25 + 11x + x2 = 6 + 30.25

Combine like terms: 6 + 30.25 = 36.25
30.25 + 11x + x2 = 36.25

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = 36.25

Calculate the square root of the right side: 6.020797289

Break this problem into two subproblems by setting 
(x + 5.5) equal to 6.020797289 and -6.020797289.


Subproblem 1
x + 5.5 = 6.020797289

Simplifying
x + 5.5 = 6.020797289

Reorder the terms:
5.5 + x = 6.020797289

Solving
5.5 + x = 6.020797289

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = 6.020797289 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = 6.020797289 + -5.5
x = 6.020797289 + -5.5

Combine like terms: 6.020797289 + -5.5 = 0.520797289
x = 0.520797289

Simplifying
x = 0.520797289


Subproblem 2
x + 5.5 = -6.020797289

Simplifying
x + 5.5 = -6.020797289

Reorder the terms:
5.5 + x = -6.020797289

Solving
5.5 + x = -6.020797289

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = -6.020797289 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = -6.020797289 + -5.5
x = -6.020797289 + -5.5

Combine like terms: -6.020797289 + -5.5 = -11.520797289
x = -11.520797289

Simplifying
x = -11.520797289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.520797289, -11.520797289}
Solution
x = {0.520797289, -11.520797289}

See similar equations:

| (15x+7)-12=44 | | 8-3x=-3x+7 | | -2(-4x-8)=96 | | -5x=6/7 | | 14=8(x-1) | | 3ax+6b=8cx+d | | 6(-1+2x)=138 | | 3x(x+4)=300 | | 9x=51 | | 3x+2+4x-5= | | N+(17)=-1 | | 5x-4=-6+6x | | 6b-7b=-5b+8 | | 7(5x+5)=-105 | | 7m+8=18 | | 4w+12=1w-15 | | abs(8-3x)=3x-7 | | 11x-8(x-y)= | | F(x)=7x*2-5 | | 34=x+x-1+x+3 | | 2(-3-6x)=90 | | 700+x(30)=7900 | | 46=2x+2(4) | | 6y-(3y-2y)=3(7+2y) | | 2+5p+3=-3p+33+3p | | 4b-9=-69 | | 4y+2=3 | | .50(p+5)=7.5 | | 8.1+3.1h-5.6h=-7.2 | | -10+6x=-4x+60 | | -4b+9=37 | | 32-2(32+10)=12 |

Equations solver categories