3x(x+6)(x-15)=0

Simple and best practice solution for 3x(x+6)(x-15)=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+6)(x-15)=0 equation: 


Simplifying
3x(x + 6)(x + -15) = 0

Reorder the terms:
3x(6 + x)(x + -15) = 0

Reorder the terms:
3x(6 + x)(-15 + x) = 0

Multiply (6 + x) * (-15 + x)
3x(6(-15 + x) + x(-15 + x)) = 0
3x((-15 * 6 + x * 6) + x(-15 + x)) = 0
3x((-90 + 6x) + x(-15 + x)) = 0
3x(-90 + 6x + (-15 * x + x * x)) = 0
3x(-90 + 6x + (-15x + x2)) = 0

Combine like terms: 6x + -15x = -9x
3x(-90 + -9x + x2) = 0
(-90 * 3x + -9x * 3x + x2 * 3x) = 0
(-270x + -27x2 + 3x3) = 0

Solving
-270x + -27x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-90 + -9x + x2) = 0

Factor a trinomial.
3x((-6 + -1x)(15 + -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 '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, -6, 15}

See similar equations:

| 4x+35=35-2x | | -13+x=.49 | | 8x-4=-6+7x | | 5(8-x)-64=25x-6(4+5x) | | (8a)+(5b)=(8.5)+(5a)+(ab)+8b | | -18x^2=-36x | | 8.2x+29.96=-11.8x+29.80 | | -49x^2=-4 | | 2(3x+4)+5(4x+1)=39 | | 45x^2=5x | | 3x+21= | | 4x+y+8=0 | | x^2+18x=0 | | 3w^2+14w+16=0 | | 2(x-6)+6=4(x+2)-4 | | -70=-7(6b-8) | | 5-2x=-1 | | 3x^2=27x | | 2w^2+w+3= | | 17y=16(y+15) | | 2x^3-4x^2-18x=-36 | | 4x^2+36x=0 | | 24-12-12=0 | | 36x^2-64=0 | | 9.6x+1.83=-10.4x+0.07 | | 5x-10=7x+1 | | 7-x+3x-2-9x= | | x^2-19x+84=0 | | 11(t-6)+7t=6(3t+4)-8 | | 4p+10+p=25 | | 12d-9-5d=12d-8-5d | | 25X^2+20x+4=75 |

Equations solver categories