3x(x-4)(3x+5)=0

Simple and best practice solution for 3x(x-4)(3x+5)=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)(3x+5)=0 equation: 


Simplifying
3x(x + -4)(3x + 5) = 0

Reorder the terms:
3x(-4 + x)(3x + 5) = 0

Reorder the terms:
3x(-4 + x)(5 + 3x) = 0

Multiply (-4 + x) * (5 + 3x)
3x(-4(5 + 3x) + x(5 + 3x)) = 0
3x((5 * -4 + 3x * -4) + x(5 + 3x)) = 0
3x((-20 + -12x) + x(5 + 3x)) = 0
3x(-20 + -12x + (5 * x + 3x * x)) = 0
3x(-20 + -12x + (5x + 3x2)) = 0

Combine like terms: -12x + 5x = -7x
3x(-20 + -7x + 3x2) = 0
(-20 * 3x + -7x * 3x + 3x2 * 3x) = 0
(-60x + -21x2 + 9x3) = 0

Solving
-60x + -21x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-20 + -7x + 3x2) = 0

Factor a trinomial.
3x((-5 + -3x)(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 '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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, -1.666666667, 4}

See similar equations:

| 2(x-5)-5=-15 | | -8(3y-2)+16y=-24 | | h=-38*2008+78775 | | h=-38*2007+78775 | | 2x+8=-3x | | h=-38*2006+78775 | | 4=-3 | | h=-38*2005+78775 | | h=-38*2004+78775 | | h=-38*2003+78775 | | 9=-4-x | | h=-38*2002+78775 | | -7(2x+4)=-44-3x+5x | | 2y^2x-4x=-24 | | 2x-6-10=-3x-12 | | 5x-(7-x)+2x+7=8x+5 | | (X-5)-5=19 | | 4(2w-6)=5(2+w)-22 | | x+2/5+x+2/5=1 | | 2x-8+3x-14=23 | | 1/6+1/8=x | | 3a+7+5a= | | 45-4x(5-(-3))= | | 45-4*(5-(-3))= | | 13/20-2/5= | | 5x+16=6x | | 45-4(5-(-3))= | | 7x^2-64=0 | | 6t*3y= | | 2y-8=9 | | 2(9m-5)-8(6m-1)= | | 3x^3-14x^2+17x-6= |

Equations solver categories