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

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


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

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

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

Multiply (-5 + x) * (4 + 3x)
2x(-5(4 + 3x) + x(4 + 3x)) = 0
2x((4 * -5 + 3x * -5) + x(4 + 3x)) = 0
2x((-20 + -15x) + x(4 + 3x)) = 0
2x(-20 + -15x + (4 * x + 3x * x)) = 0
2x(-20 + -15x + (4x + 3x2)) = 0

Combine like terms: -15x + 4x = -11x
2x(-20 + -11x + 3x2) = 0
(-20 * 2x + -11x * 2x + 3x2 * 2x) = 0
(-40x + -22x2 + 6x3) = 0

Solving
-40x + -22x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-20 + -11x + 3x2) = 0

Factor a trinomial.
2x((-4 + -3x)(5 + -1x)) = 0

Ignore the factor 2.

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

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, -1.333333333, 5}

See similar equations:

| -7x-6y=-12 | | 0=4x^4-12x^2+6 | | -3x-5y=-13 | | -1/3+6=x-10 | | 2(6x+7)=3(4x+1) | | 5(x^2+4x+4)+34x+68-7=0 | | 4x^3-9=36x-x^2 | | 8(z-3)+11=19 | | 20m^3-25m^2+4m-5= | | f/9=4/6 | | 6-2x-9=1x+11+4x | | 4x-2=-3x+5 | | -x+7y=-15 | | 15x=3(x+5) | | -2z^2+20z-50= | | 2x^3-13x-7=0 | | 5*1+1= | | 200000000/4600000000=x/365 | | 5*2+5*1-3= | | -y^3-6y^2-9y=0 | | x^2+16x+64=13 | | 15/x+4=15/x-5 | | -6-9[4-8b]=-42 | | -9v+29=-4(v-1) | | [n+6]+3=19 | | 0=-12-1x-1x^2 | | 4*3-10= | | 8x^2+8x-17=4-9x | | y=-x^2-x-12 | | 19+5(4-1)= | | 31-2y=-4y+3 | | 6x^2+16x+6=0 |

Equations solver categories