14x(x+13)(x-13)=0

Simple and best practice solution for 14x(x+13)(x-13)=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 14x(x+13)(x-13)=0 equation: 


Simplifying
14x(x + 13)(x + -13) = 0

Reorder the terms:
14x(13 + x)(x + -13) = 0

Reorder the terms:
14x(13 + x)(-13 + x) = 0

Multiply (13 + x) * (-13 + x)
14x(13(-13 + x) + x(-13 + x)) = 0
14x((-13 * 13 + x * 13) + x(-13 + x)) = 0
14x((-169 + 13x) + x(-13 + x)) = 0
14x(-169 + 13x + (-13 * x + x * x)) = 0
14x(-169 + 13x + (-13x + x2)) = 0

Combine like terms: 13x + -13x = 0
14x(-169 + 0 + x2) = 0
14x(-169 + x2) = 0
(-169 * 14x + x2 * 14x) = 0
(-2366x + 14x3) = 0

Solving
-2366x + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14x'.
14x(-169 + x2) = 0

Factor a difference between two squares.
14x((13 + x)(-13 + x)) = 0

Ignore the factor 14.

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 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 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 + x = 0 + -13

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

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

Simplifying
x = -13

Subproblem 3
Set the factor '(-13 + x)' equal to zero and attempt to solve:

Simplifying
-13 + x = 0

Solving
-13 + x = 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 + x = 0 + 13

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

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

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

See similar equations:

| 9+6x+8=4x+9-6x | | 8x+5=20x-20 | | (7t-12)+(t+4)=15 | | 6-8y=15-2y | | 3-x=-12 | | 14=-3x(2x+3)+7x | | p=3k+3v | | 8n+7-11n=-8 | | 9x+11(x+1)=20(x+1)-9 | | 11(v+2)-3v=4(2v+3)-17 | | x^2+12x+36=2x^2+18x+45 | | 4y=12x+3 | | 2x+10=5x-17 | | 11=0.38-1.36 | | t+8=-12 | | 7x+3=3x+19 | | (p+2)(p+3)=1-p | | 5[-7x-5+7(x+1)]=-6x-2 | | 8h^2+6h-1224=0 | | 9x(x+9)(x-9)=0 | | 2-8w+6w=0 | | 2(x-a)+5b=3x+a | | 20x(x+16)(x-16)=0 | | 5+2m-1=9m+13-6m | | x/12=2x/3-7 | | 0=x^2-9x+72 | | 7-4a=a+15 | | 7-4a=7+15 | | -125b^3+64= | | -a/2=8 | | 8t^2=2t+3 | | 64-125b^3= |

Equations solver categories