2x(x+13)(x-2)=0

Simple and best practice solution for 2x(x+13)(x-2)=0 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+13)(x-2)=0 equation: 


Simplifying
2x(x + 13)(x + -2) = 0

Reorder the terms:
2x(13 + x)(x + -2) = 0

Reorder the terms:
2x(13 + x)(-2 + x) = 0

Multiply (13 + x) * (-2 + x)
2x(13(-2 + x) + x(-2 + x)) = 0
2x((-2 * 13 + x * 13) + x(-2 + x)) = 0
2x((-26 + 13x) + x(-2 + x)) = 0
2x(-26 + 13x + (-2 * x + x * x)) = 0
2x(-26 + 13x + (-2x + x2)) = 0

Combine like terms: 13x + -2x = 11x
2x(-26 + 11x + x2) = 0
(-26 * 2x + 11x * 2x + x2 * 2x) = 0
(-52x + 22x2 + 2x3) = 0

Solving
-52x + 22x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-26 + 11x + x2) = 0

Factor a trinomial.
2x((-13 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, -13, 2}

See similar equations:

| 6a/4+2 | | B=4a-19-3b | | 1/3x^-2/3=0 | | 17.95x+995=6x+3975 | | 0=-16t^2+185t | | 3+2(x+3)=3x | | 6(2x+5)-2(5x-4)=10 | | a+9=12*7 | | 10/5x+1/2x | | -1/2+6/2 | | a+9/7=12 | | (X+0.8)(x+1.6)=0 | | 3(4y-1)=81 | | 2b-5-8b-7= | | 4m-11=3m+19 | | 35+x+2*90=360 | | 12-5e=17 | | 35+x+2*90=260 | | 0=-16t^2+90t | | x/24=8/3x | | 67=6x+2x-5 | | x^2+x^2+14x+49=4x^2+2x+1 | | 144x-12x^2=0 | | (28/x+5)/(1/x+5) | | 24-2= | | -8(5-9m+n)= | | 8x^6-12x^4/4x^3 | | 5/9*77-32 | | 5/9*77/-32 | | -1/7(7y+6) | | x^2+x^2+49=4x^2+1 | | -1/9(9y+2) |

Equations solver categories