x(x-1)(3x+6)(x+7)=0

Simple and best practice solution for x(x-1)(3x+6)(x+7)=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 x(x-1)(3x+6)(x+7)=0 equation: 


Simplifying
x(x + -1)(3x + 6)(x + 7) = 0

Reorder the terms:
x(-1 + x)(3x + 6)(x + 7) = 0

Reorder the terms:
x(-1 + x)(6 + 3x)(x + 7) = 0

Reorder the terms:
x(-1 + x)(6 + 3x)(7 + x) = 0

Multiply (-1 + x) * (6 + 3x)
x(-1(6 + 3x) + x(6 + 3x))(7 + x) = 0
x((6 * -1 + 3x * -1) + x(6 + 3x))(7 + x) = 0
x((-6 + -3x) + x(6 + 3x))(7 + x) = 0
x(-6 + -3x + (6 * x + 3x * x))(7 + x) = 0
x(-6 + -3x + (6x + 3x2))(7 + x) = 0

Combine like terms: -3x + 6x = 3x
x(-6 + 3x + 3x2)(7 + x) = 0

Multiply (-6 + 3x + 3x2) * (7 + x)
x(-6(7 + x) + 3x * (7 + x) + 3x2 * (7 + x)) = 0
x((7 * -6 + x * -6) + 3x * (7 + x) + 3x2 * (7 + x)) = 0
x((-42 + -6x) + 3x * (7 + x) + 3x2 * (7 + x)) = 0
x(-42 + -6x + (7 * 3x + x * 3x) + 3x2 * (7 + x)) = 0
x(-42 + -6x + (21x + 3x2) + 3x2 * (7 + x)) = 0
x(-42 + -6x + 21x + 3x2 + (7 * 3x2 + x * 3x2)) = 0
x(-42 + -6x + 21x + 3x2 + (21x2 + 3x3)) = 0

Combine like terms: -6x + 21x = 15x
x(-42 + 15x + 3x2 + 21x2 + 3x3) = 0

Combine like terms: 3x2 + 21x2 = 24x2
x(-42 + 15x + 24x2 + 3x3) = 0
(-42 * x + 15x * x + 24x2 * x + 3x3 * x) = 0
(-42x + 15x2 + 24x3 + 3x4) = 0

Solving
-42x + 15x2 + 24x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-14 + 5x + 8x2 + x3) = 0

Ignore the factor 3.

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 '(-14 + 5x + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
-14 + 5x + 8x2 + x3 = 0

Solving
-14 + 5x + 8x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| x^4+256=0 | | x^4+256=0 | | -5x+6x+3x=13 | | x+32=36 | | y=2x+3-12x^2 | | x(x^2+3x+3)+1=0 | | 2x-6=32 | | 3p+16=4p | | x(x^2+3x+3)=0 | | -16n-9(-2n-4)=14n | | 2(-6p+5)=-17-12p-6 | | 2x-3-5x=x+9 | | -18.87+3.2z+8.03=4.6z+16.6 | | 3(x+4)+.25-x= | | -x-4y=-13 | | 19.95+0.99m+65.32=144.67 | | 8.68-19.9d=-9.66-19.9d | | 7=18n+1 | | 17.03+19.55-6.8p=-2.14-11.2p | | 3x-4y=-9 | | 6.3v+4.26=13.36+6.8v | | x^3+5x^2+5x-25=0 | | x-14=39 | | -x+4=x+16 | | x^3+5x^2-8x-40=0 | | -19c+16.5=15.6c+16.5-17.5c | | 15.9g=7.4g+8.5g | | 15.9g=7.4+8.5g | | -2b+3=-6 | | -7t-4.26=-14.1t | | -2.4w-3.86=-3.86-2.4w | | r+19=-3r+19+4r |

Equations solver categories