8x(5x+8)=16

Simple and best practice solution for 8x(5x+8)=16 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 8x(5x+8)=16 equation: 


Simplifying
8x(5x + 8) = 16

Reorder the terms:
8x(8 + 5x) = 16
(8 * 8x + 5x * 8x) = 16
(64x + 40x2) = 16

Solving
64x + 40x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 64x + 40x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 64x + 40x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + 8x + 5x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-2 + 8x + 5x2)' equal to zero and attempt to solve:

Simplifying
-2 + 8x + 5x2 = 0

Solving
-2 + 8x + 5x2 = 0

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

Divide each side by '5'.
-0.4 + 1.6x + x2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + 1.6x + 0.4 + x2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + 1.6x + x2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 1.6x + x2 = 0 + 0.4
1.6x + x2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
1.6x + x2 = 0.4

The x term is 1.6x.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6x + 0.64 + x2 = 0.4 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = 0.4 + 0.64

Combine like terms: 0.4 + 0.64 = 1.04
0.64 + 1.6x + x2 = 1.04

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = 1.04

Calculate the square root of the right side: 1.019803903

Break this problem into two subproblems by setting 
(x + 0.8) equal to 1.019803903 and -1.019803903.


Subproblem 1
x + 0.8 = 1.019803903

Simplifying
x + 0.8 = 1.019803903

Reorder the terms:
0.8 + x = 1.019803903

Solving
0.8 + x = 1.019803903

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + x = 1.019803903 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + x = 1.019803903 + -0.8
x = 1.019803903 + -0.8

Combine like terms: 1.019803903 + -0.8 = 0.219803903
x = 0.219803903

Simplifying
x = 0.219803903


Subproblem 2
x + 0.8 = -1.019803903

Simplifying
x + 0.8 = -1.019803903

Reorder the terms:
0.8 + x = -1.019803903

Solving
0.8 + x = -1.019803903

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + x = -1.019803903 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + x = -1.019803903 + -0.8
x = -1.019803903 + -0.8

Combine like terms: -1.019803903 + -0.8 = -1.819803903
x = -1.819803903

Simplifying
x = -1.819803903


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.219803903, -1.819803903}
Solution
x = {0.219803903, -1.819803903}

See similar equations:

| 22-88=40/7(h-6) | | 8x-(5x-8)=16 | | (6x+3)/2+8=4x-2(5x+7) | | p=40/7(20-6) | | 4-2(2+4x)=c-3 | | 28/7*4+2 | | p=40/7(18-6) | | -1+6=5b-8-4b | | -11/8x=42 | | 10x+3+4+8=13x+3x | | X(x-7)=60 | | 10x+3+4+8=13x+3 | | r(-6)=-9 | | a/7x=-16 | | 44x+2=45x | | ((2+3i)-(3-2i))+(6+i)= | | 6b/4-8=10 | | (z+1)(z-3)-(z+2)(z+4)=3z-[4z-2(z-1)] | | .7k-1.5+7.3k=14.5 | | 5(4a+b)+3a+b= | | 5(4a+b)+3a+b= | | -5x+1=4x-7 | | 7(r+2t)=5t | | 2+a/-8=4 | | (z+1)(z+4)+3(z-2)(z-1)=4z(z-6) | | -3x+7=47+2x | | 5x-3[x-(2x-1)]=-3 | | -2p-13=-23 | | (2+3i)-(3-2i)+(6+i)= | | -3x-[-6x-(3-x)]=9+(x-1) | | N/7-7=-3 | | 3u-1/3=1u+7/3 |

Equations solver categories