4(2+8x)+x(4x+2)=

Simple and best practice solution for 4(2+8x)+x(4x+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 4(2+8x)+x(4x+2)= equation: 


Simplifying
4(2 + 8x) + x(4x + 2) = 0
(2 * 4 + 8x * 4) + x(4x + 2) = 0
(8 + 32x) + x(4x + 2) = 0

Reorder the terms:
8 + 32x + x(2 + 4x) = 0
8 + 32x + (2 * x + 4x * x) = 0
8 + 32x + (2x + 4x2) = 0

Combine like terms: 32x + 2x = 34x
8 + 34x + 4x2 = 0

Solving
8 + 34x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 17x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 17x + 2x2)' equal to zero and attempt to solve:

Simplifying
4 + 17x + 2x2 = 0

Solving
4 + 17x + 2x2 = 0

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

Divide each side by '2'.
2 + 8.5x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 8.5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 8.5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 8.5x + x2 = 0 + -2
8.5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
8.5x + x2 = -2

The x term is 8.5x.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5x + 18.0625 + x2 = -2 + 18.0625

Reorder the terms:
18.0625 + 8.5x + x2 = -2 + 18.0625

Combine like terms: -2 + 18.0625 = 16.0625
18.0625 + 8.5x + x2 = 16.0625

Factor a perfect square on the left side:
(x + 4.25)(x + 4.25) = 16.0625

Calculate the square root of the right side: 4.007804885

Break this problem into two subproblems by setting 
(x + 4.25) equal to 4.007804885 and -4.007804885.


Subproblem 1
x + 4.25 = 4.007804885

Simplifying
x + 4.25 = 4.007804885

Reorder the terms:
4.25 + x = 4.007804885

Solving
4.25 + x = 4.007804885

Solving for variable 'x'.

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

Add '-4.25' to each side of the equation.
4.25 + -4.25 + x = 4.007804885 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + x = 4.007804885 + -4.25
x = 4.007804885 + -4.25

Combine like terms: 4.007804885 + -4.25 = -0.242195115
x = -0.242195115

Simplifying
x = -0.242195115


Subproblem 2
x + 4.25 = -4.007804885

Simplifying
x + 4.25 = -4.007804885

Reorder the terms:
4.25 + x = -4.007804885

Solving
4.25 + x = -4.007804885

Solving for variable 'x'.

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

Add '-4.25' to each side of the equation.
4.25 + -4.25 + x = -4.007804885 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + x = -4.007804885 + -4.25
x = -4.007804885 + -4.25

Combine like terms: -4.007804885 + -4.25 = -8.257804885
x = -8.257804885

Simplifying
x = -8.257804885


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.242195115, -8.257804885}
Solution
x = {-0.242195115, -8.257804885}

See similar equations:

| 1a+5b=0 | | 10(0.1-x)=(0.1+x) | | 4n(1+5n)+2(1-8n)= | | -4n(n-2)+2n(n-1)= | | (x^6y/y^2)^2/3 | | -8p(8-6p)-7p(6p-7)= | | 3/4(6-x)=12 | | 2/3(3x-12)=10 | | 7(x+1)+5(x+3)= | | x^3=0.000000000014 | | -7(2n+5)-3(-4-6n)= | | cx=c | | cx=1 | | x-c=0 | | 4y+11=29 | | 3x+7=12-3x | | -7x+2z-3z-7=17 | | x+18=163 | | 2(-3+r)-5r(3r-3)= | | 4s+38=110 | | -8(2+7x)-x(-8+x)= | | -1+7(k-3)= | | -6(m-4)-5= | | -8-7(5r-3)= | | x*3/2*p=33/20*p | | 1-(3x+3)= | | x^2+3x=8.33333333 | | 1275=200m+c | | 7+2y^2+4y^2=37 | | 4-(8-n+8)=3(2-n) | | 2(6+3n)+7n= | | 5-6(5+x)= |

Equations solver categories