3x(x+4)(2x+5)=0

Simple and best practice solution for 3x(x+4)(2x+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)(2x+5)=0 equation: 


Simplifying
3x(x + 4)(2x + 5) = 0

Reorder the terms:
3x(4 + x)(2x + 5) = 0

Reorder the terms:
3x(4 + x)(5 + 2x) = 0

Multiply (4 + x) * (5 + 2x)
3x(4(5 + 2x) + x(5 + 2x)) = 0
3x((5 * 4 + 2x * 4) + x(5 + 2x)) = 0
3x((20 + 8x) + x(5 + 2x)) = 0
3x(20 + 8x + (5 * x + 2x * x)) = 0
3x(20 + 8x + (5x + 2x2)) = 0

Combine like terms: 8x + 5x = 13x
3x(20 + 13x + 2x2) = 0
(20 * 3x + 13x * 3x + 2x2 * 3x) = 0
(60x + 39x2 + 6x3) = 0

Solving
60x + 39x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(20 + 13x + 2x2) = 0

Factor a trinomial.
3x((4 + x)(5 + 2x)) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4

Subproblem 3
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0, -4, -2.5}

See similar equations:

| -7(-5-2x)=4 | | 8+4(2x+1)-3(7-x)+5(1-3)=0 | | 2=57 | | 8-(1/3)(1/3)/2/3 | | 2x+4x+x= | | 4e-4=w-4 | | 40y^2+9y-10=0 | | 2(2x+1)=4x-9x | | 5p+5p=20 | | 6x+23=9x+35 | | 1y/2=-15 | | 5(2x+1)+(4x+2)=0 | | 5y=1250 | | 2u^2+7u-64=0 | | 5x+1-6x=6-(x-5) | | 85-32=20z+47 | | 2(5+y)=24 | | 5x+4=14+4x | | (5x-7)+48=108 | | 250-y=15 | | 63=x-19+17 | | 4sin(2x)-2cos(x)=0 | | 15/y=-5 | | sec^2x-4secx-32=0 | | 8x-5=(x+1) | | 246=94-w | | 66x+8=50 | | 5x-3x+7=x+15 | | 53=-x+220 | | D^2+56=-184 | | 202-x=141 | | 8y=12y-20 |

Equations solver categories