3x(x-4)(x+1)=0

Simple and best practice solution for 3x(x-4)(x+1)=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 3x(x-4)(x+1)=0 equation: 


Simplifying
3x(x + -4)(x + 1) = 0

Reorder the terms:
3x(-4 + x)(x + 1) = 0

Reorder the terms:
3x(-4 + x)(1 + x) = 0

Multiply (-4 + x) * (1 + x)
3x(-4(1 + x) + x(1 + x)) = 0
3x((1 * -4 + x * -4) + x(1 + x)) = 0
3x((-4 + -4x) + x(1 + x)) = 0
3x(-4 + -4x + (1 * x + x * x)) = 0
3x(-4 + -4x + (1x + x2)) = 0

Combine like terms: -4x + 1x = -3x
3x(-4 + -3x + x2) = 0
(-4 * 3x + -3x * 3x + x2 * 3x) = 0
(-12x + -9x2 + 3x3) = 0

Solving
-12x + -9x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + -3x + x2) = 0

Factor a trinomial.
3x((-1 + -1x)(4 + -1x)) = 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 '(-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

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, -1, 4}

See similar equations:

| 8n+5=5n-3 | | p=24i-1.5i | | p=24i-1.5 | | (2x^2)(-4x)(6x^3)= | | x(4x^3-5xy+2x)=0 | | a+32+a-50+a-36=180 | | Factorize(x)(x)+2.5x-0.64=0 | | x^2(x^2-6)+10=0 | | 75+5x=4x-3 | | 2y+5x+45=180 | | 25ab=25 | | 4(3+3x)-4=80 | | 95x-89y+89y=190 | | 470+2x=7x+6 | | (2pq^2)(2p^2qr^2)= | | =5+76 | | 30+5=h | | X+45=1000 | | 30+5=h+12 | | x^4-4=3x^2 | | j+12=6 | | ln(x)=2.1 | | (-5y^4)(-7y^5)= | | (9y^2)-(x^2)-(36y)+(12x)-36=0 | | (3x^3)(-x^3)= | | (6x+142)= | | (7x^2)(-x^7)= | | 3056890000.00-15000000.00x=2500000000.00 | | 4x=8-2y | | 2x=4-y | | 2x+3-6x-3= | | -4.9x^2-8x+750=0 |

Equations solver categories