0.5(4x+24)22x-2=

Simple and best practice solution for 0.5(4x+24)22x-2= 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 0.5(4x+24)22x-2= equation: 


Simplifying
0.5(4x + 24) * 22x + -2 = 0

Reorder the terms:
0.5(24 + 4x) * 22x + -2 = 0

Reorder the terms for easier multiplication:
0.5 * 22x(24 + 4x) + -2 = 0

Multiply 0.5 * 22
11x(24 + 4x) + -2 = 0
(24 * 11x + 4x * 11x) + -2 = 0
(264x + 44x2) + -2 = 0

Reorder the terms:
-2 + 264x + 44x2 = 0

Solving
-2 + 264x + 44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 132x + 22x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 132x + 22x2)' equal to zero and attempt to solve:

Simplifying
-1 + 132x + 22x2 = 0

Solving
-1 + 132x + 22x2 = 0

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

Divide each side by '22'.
-0.04545454545 + 6x + x2 = 0

Move the constant term to the right:

Add '0.04545454545' to each side of the equation.
-0.04545454545 + 6x + 0.04545454545 + x2 = 0 + 0.04545454545

Reorder the terms:
-0.04545454545 + 0.04545454545 + 6x + x2 = 0 + 0.04545454545

Combine like terms: -0.04545454545 + 0.04545454545 = 0.00000000000
0.00000000000 + 6x + x2 = 0 + 0.04545454545
6x + x2 = 0 + 0.04545454545

Combine like terms: 0 + 0.04545454545 = 0.04545454545
6x + x2 = 0.04545454545

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 = 0.04545454545 + 9

Reorder the terms:
9 + 6x + x2 = 0.04545454545 + 9

Combine like terms: 0.04545454545 + 9 = 9.04545454545
9 + 6x + x2 = 9.04545454545

Factor a perfect square on the left side:
(x + 3)(x + 3) = 9.04545454545

Calculate the square root of the right side: 3.007566216

Break this problem into two subproblems by setting 
(x + 3) equal to 3.007566216 and -3.007566216.


Subproblem 1
x + 3 = 3.007566216

Simplifying
x + 3 = 3.007566216

Reorder the terms:
3 + x = 3.007566216

Solving
3 + x = 3.007566216

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 = 3.007566216 + -3

Combine like terms: 3 + -3 = 0
0 + x = 3.007566216 + -3
x = 3.007566216 + -3

Combine like terms: 3.007566216 + -3 = 0.007566216
x = 0.007566216

Simplifying
x = 0.007566216


Subproblem 2
x + 3 = -3.007566216

Simplifying
x + 3 = -3.007566216

Reorder the terms:
3 + x = -3.007566216

Solving
3 + x = -3.007566216

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 = -3.007566216 + -3

Combine like terms: 3 + -3 = 0
0 + x = -3.007566216 + -3
x = -3.007566216 + -3

Combine like terms: -3.007566216 + -3 = -6.007566216
x = -6.007566216

Simplifying
x = -6.007566216


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.007566216, -6.007566216}
Solution
x = {0.007566216, -6.007566216}

See similar equations:

| 6y-5=-2y+1 | | 4a^3b-ab^3=0 | | 16x-9y=40 | | 22b^2-7b=0 | | 3x^2+(x+1)(x+1)=(x+2)(x+2) | | -7(-m-8)-4(3m-1)=-2m+4+7m | | 1-33/a=12 | | 2.1x=3.1x-3.7 | | 1/2m+3=23 | | -6x-5+3x=31 | | 9=21-cf | | 6a(4a)=24a | | 6y+10=6x+12 | | z^3-125p^3=0 | | x+(x+16)=66 | | -2/7x=6/21 | | 12x-3(4x-2)=6 | | 7e^3x+2=5 | | x=10+2(4) | | (2y)(4y^2)+(3y^2)(5y^2)= | | 3[2-(4m+6)]-3=5(4-m) | | H(x)=180x-5x^2 | | X+x-10+(x+5)=180 | | 2ln^23x=4 | | x+(n+16)=66 | | 3a+4b=5c | | 4x+2(-8)=6 | | 9y^2+6y-12=0 | | 8-5.32= | | 7e(3x+2)=5 | | 1=36+2x+5 | | log(x)+log(x-14)=log(19x) |

Equations solver categories