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

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


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

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

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

Reorder the terms for easier multiplication:
x(-3 + x)(-4 + x) = 0

Multiply (-3 + x) * (-4 + x)
x(-3(-4 + x) + x(-4 + x)) = 0
x((-4 * -3 + x * -3) + x(-4 + x)) = 0
x((12 + -3x) + x(-4 + x)) = 0
x(12 + -3x + (-4 * x + x * x)) = 0
x(12 + -3x + (-4x + x2)) = 0

Combine like terms: -3x + -4x = -7x
x(12 + -7x + x2) = 0
(12 * x + -7x * x + x2 * x) = 0
(12x + -7x2 + x3) = 0

Solving
12x + -7x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + -7x + x2) = 0

Factor a trinomial.
x((3 + -1x)(4 + -1x)) = 0


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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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, 3, 4}

See similar equations:

| 5*(4+2)(8*12)= | | 5x+(-6)=-2 | | 5x(4+2)(8*12)= | | a^2+4a-28=FACTOR | | 30x^4y^2-6x^3y^3= | | F(-8)=2 | | 7-13x+6x^2= | | 5*(3x-7)+4x=8*(2x+3) | | X/3*3*x | | 5(2x-3)=-115 | | .07=100 | | -8(-3)-(-4)= | | 2(-10)-1= | | 4w=54-5w | | 5x=-1/4 | | 5(3y-4)-(14y+3)= | | 2(5a+15)=10 | | Y(y^3-6)= | | X-0.30x=84 | | (5a-2)(3a-8)= | | (-8)(-15)(0)(-5)(-4)= | | -7(-5)(-6)(-1)= | | 3x^5/2-6x^3/2=9x^1/2 | | |2x-3/6|=|4-5x/8| | | 16x+-7+-11x+18=0 | | (x+5)+4=12 | | 37x-93=75+10x | | 4(5x-4)+2=-8 | | 17-130=280+7x | | Log(x+1)-log(2x-3)=2 | | 4y-2=x-6 | | 2(+4)-5(x+3)=2 |

Equations solver categories