2x(x+5)+2x=-x+5(x+2)

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


Simplifying
2x(x + 5) + 2x = -1x + 5(x + 2)

Reorder the terms:
2x(5 + x) + 2x = -1x + 5(x + 2)
(5 * 2x + x * 2x) + 2x = -1x + 5(x + 2)
(10x + 2x2) + 2x = -1x + 5(x + 2)

Reorder the terms:
10x + 2x + 2x2 = -1x + 5(x + 2)

Combine like terms: 10x + 2x = 12x
12x + 2x2 = -1x + 5(x + 2)

Reorder the terms:
12x + 2x2 = -1x + 5(2 + x)
12x + 2x2 = -1x + (2 * 5 + x * 5)
12x + 2x2 = -1x + (10 + 5x)

Reorder the terms:
12x + 2x2 = 10 + -1x + 5x

Combine like terms: -1x + 5x = 4x
12x + 2x2 = 10 + 4x

Solving
12x + 2x2 = 10 + 4x

Solving for variable 'x'.

Reorder the terms:
-10 + 12x + -4x + 2x2 = 10 + 4x + -10 + -4x

Combine like terms: 12x + -4x = 8x
-10 + 8x + 2x2 = 10 + 4x + -10 + -4x

Reorder the terms:
-10 + 8x + 2x2 = 10 + -10 + 4x + -4x

Combine like terms: 10 + -10 = 0
-10 + 8x + 2x2 = 0 + 4x + -4x
-10 + 8x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 8x + 2x2 = 0

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

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

Ignore the factor 2.

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-5, 1}

See similar equations:

| 3/5x=1/15-2/3x | | e/8-20=105 | | 1/10-1/4 | | 5r-5s=35 | | 1/8=1/4a | | x(x-9)+17=3(4-x) | | https://cdn.edjin.com/upload/RESOURCE/IMAGE/26226.gif | | -4.9x^2+5x+9=0 | | 5m+3-7m-1=-19 | | 5m+3-7m-1=m-9 | | 8x+22=-78 | | 2cosx-tanx=secx | | 24x^2+16x+144=0 | | (4x+8)-(x+3)= | | -75/4225/2= | | 3x^3+2x+18=0 | | n-52=3/2 | | (5x^-9/6y^-6)^-3 | | 6r-11=2r-29 | | 0=x^2-20x+80 | | X^2=342 | | x^5=255 | | (5x-9/6y-6)-3 | | -13=5-2m | | 40+15+0.25=45+0.35x | | 13/195=1/5x | | -9(-5+3x)=21 | | a/3-a/9=2 | | 12n+6=42 | | 1/9x8 | | 6(5x-5)=3(6x+5) | | lx+9l=2x+1 |

Equations solver categories