5x(x+8)=2x+16

Simple and best practice solution for 5x(x+8)=2x+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 5x(x+8)=2x+16 equation: 


Simplifying
5x(x + 8) = 2x + 16

Reorder the terms:
5x(8 + x) = 2x + 16
(8 * 5x + x * 5x) = 2x + 16
(40x + 5x2) = 2x + 16

Reorder the terms:
40x + 5x2 = 16 + 2x

Solving
40x + 5x2 = 16 + 2x

Solving for variable 'x'.

Reorder the terms:
-16 + 40x + -2x + 5x2 = 16 + 2x + -16 + -2x

Combine like terms: 40x + -2x = 38x
-16 + 38x + 5x2 = 16 + 2x + -16 + -2x

Reorder the terms:
-16 + 38x + 5x2 = 16 + -16 + 2x + -2x

Combine like terms: 16 + -16 = 0
-16 + 38x + 5x2 = 0 + 2x + -2x
-16 + 38x + 5x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 38x + 5x2 = 0

Factor a trinomial.
(-8 + -1x)(2 + -5x) = 0


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-8, 0.4}

See similar equations:

| -2(4t-2)+4t=2t-7 | | 81x^11=9x | | -11/2n=99 | | x+18=58 | | 2(16y+12)=4(-16-3y) | | -88=11s | | V=1/3(3.14)(r)(r)h | | q=14+-4n+rt | | 70-5x=35+2x | | 1-(9/7x)=7/4 | | 4(2m-4)=40 | | 15x-2=15x+17 | | -8(-3t+17)=18+2t | | 4x^2-21x+17=2x+2 | | -5/7x=-40 | | (X^2)+225=(2x+1)(2x+1) | | 4/r+8/r-7 | | 3(2r+18)=8(3r-27) | | -5/7x=-42 | | -6(3-3a)-8(6a-5)=32 | | 9+q=3q-1 | | .25x+10=4+3.25x | | 8(2n+4)=7(5n+6)+5 | | X+45=16 | | (k+1)*(k-5)=0 | | 200000x+2x=11 | | -4(3f-11)=20f+9(-4f-16) | | b-1+5b=34 | | 1-9/7x=7/4 | | -2(5t-3)+8t=6t-9 | | 14-2g=9g+14-11g | | 5(3r+27)=12(5r-45) |

Equations solver categories