4x(x+5)=8

Simple and best practice solution for 4x(x+5)=8 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+5)=8 equation: 


Simplifying
4x(x + 5) = 8

Reorder the terms:
4x(5 + x) = 8
(5 * 4x + x * 4x) = 8
(20x + 4x2) = 8

Solving
20x + 4x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + 20x + 4x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 20x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 5x + x2) = 0

Ignore the factor 4.

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

Simplifying
-2 + 5x + x2 = 0

Solving
-2 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 5x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 5x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x + x2 = 0 + 2
5x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
5x + x2 = 2

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 2 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 2 + 6.25

Combine like terms: 2 + 6.25 = 8.25
6.25 + 5x + x2 = 8.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
x + 2.5 = 2.872281323

Simplifying
x + 2.5 = 2.872281323

Reorder the terms:
2.5 + x = 2.872281323

Solving
2.5 + x = 2.872281323

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.872281323 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.872281323 + -2.5
x = 2.872281323 + -2.5

Combine like terms: 2.872281323 + -2.5 = 0.372281323
x = 0.372281323

Simplifying
x = 0.372281323


Subproblem 2
x + 2.5 = -2.872281323

Simplifying
x + 2.5 = -2.872281323

Reorder the terms:
2.5 + x = -2.872281323

Solving
2.5 + x = -2.872281323

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.872281323 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.872281323 + -2.5
x = -2.872281323 + -2.5

Combine like terms: -2.872281323 + -2.5 = -5.372281323
x = -5.372281323

Simplifying
x = -5.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.372281323, -5.372281323}
Solution
x = {0.372281323, -5.372281323}

See similar equations:

| 2x+1/5y=3 | | 87=x+6x+10 | | x^2-19x+28=0 | | 16y^3-16y=0 | | 11x-222=2x-6 | | 89=-x-7x-7 | | 3/2(2n-3)=(2n-3) | | 8x-14=3x+17 | | ln(2x-1)-ln(3)=ln(9) | | 16=x-4x-8 | | 24-9x=11x+4 | | 7+4x-5x=11 | | 5x+11+4x-17-16x+8x+31=34+-2x | | x^3-15x+3=0 | | x/1.6=13 | | x+6/3=x+134x11 | | -5x+6+x=-22 | | ln(x+3)+ln(x)=ln(x+24) | | 5x+11+4x+-17-16x+8x+31=34+-2x | | 5x+7+x=37 | | 20=40-4j | | 1/x-1+5=26/x-1 | | ln(x+3)-ln(x)=ln(x+24) | | 5-10x=105-38x | | 1/x-1+26/x-1 | | 5c+11+4x-17-16x+8+31=34-2x | | M-12=m/5 | | 23=x+2x+2 | | 13-5x=23 | | 7+x/2=22 | | 50=4x+6x-10 | | (x+44)(3x-2)=0 |

Equations solver categories