3x(x-3)(x-7)=0

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


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

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

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

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

Combine like terms: -3x + -7x = -10x
3x(21 + -10x + x2) = 0
(21 * 3x + -10x * 3x + x2 * 3x) = 0
(63x + -30x2 + 3x3) = 0

Solving
63x + -30x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(21 + -10x + x2) = 0

Factor a trinomial.
3x((3 + -1x)(7 + -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 '(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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, 3, 7}

See similar equations:

| 8+5x+x=-28 | | 18=8x+2 | | Y^2-3x=2x+13 | | (-1-3x)/2 | | 8b+33=3-22b | | 11h-(10x-2)+3x=-25 | | m^2-8m-3=6 | | g-22.5=5.5g | | p^2-15p+8=43 | | 78=8v+6 | | y^2=5x+13 | | 42.6=71x | | =-16+36 | | p^2+5p-48=0 | | 3m+9=3.5m-1 | | 7+7=15y-9-14y | | x+3=15-5x | | 4y=3x+24 | | 6y+18+3(y-2)=21 | | -11.32+3X=8 | | 3(x+5)+2(x+3)=26 | | 59Y=-167 | | 9m=3(7m+28) | | 6y+2z=-20 | | 8x+2z=-18 | | 6w+4=4(w-4) | | -6(v+9)=3v-27 | | r^2+5r+3r=10 | | 4x+7y=-29 | | 2+11b=8b-15 | | m^2+3m+3=0 | | 36-16=5(x-9) |

Equations solver categories