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

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


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

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

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

Multiply (3 + x) * (-4 + 5x)
2x(3(-4 + 5x) + x(-4 + 5x)) = 0
2x((-4 * 3 + 5x * 3) + x(-4 + 5x)) = 0
2x((-12 + 15x) + x(-4 + 5x)) = 0
2x(-12 + 15x + (-4 * x + 5x * x)) = 0
2x(-12 + 15x + (-4x + 5x2)) = 0

Combine like terms: 15x + -4x = 11x
2x(-12 + 11x + 5x2) = 0
(-12 * 2x + 11x * 2x + 5x2 * 2x) = 0
(-24x + 22x2 + 10x3) = 0

Solving
-24x + 22x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12 + 11x + 5x2) = 0

Factor a trinomial.
2x((-3 + -1x)(4 + -5x)) = 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 '(-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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, -3, 0.8}

See similar equations:

| -6(x+3)-45=7-28 | | piex^2-x-83pie=0 | | 8+4(-6)= | | 6x+-8=58 | | -8(t-6)-(t+4)=6 | | (x/x-2)+8=(2/x-2) | | -6-2-(-21)= | | 12/2x3-4^2 | | -3+-1= | | ln(-3x+5)=0 | | 6x=3(8x+12) | | 14=5X-4 | | (m/4)+(m/5)=18 | | 3x(2+x)=24+x | | 3x+32/7+x+4/4=11 | | -29-7k=2(k+8) | | -(x-15)=4 | | 12=12t-16t^2 | | -2m+11-7(m-3)=5m-(7m-7)-3m+1 | | 1=7/2d | | r^2-6r-40=0 | | 5*2-6*7*(-22)= | | -2(3t-7)+7=5t+14 | | 9.9x+97.84=-10.1x+97.08 | | y=1500x-0.02 | | 14n+12p= | | 16P-(-14P+46)=-64-P+14+P | | 15t-5+5=3t+11+5 | | x+222=90 | | 20r+16z= | | (3x-5)(3x-5)-81=0 | | 3x+72-x= |

Equations solver categories