2x(x+4)(2x-1)=0

Simple and best practice solution for 2x(x+4)(2x-1)=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+4)(2x-1)=0 equation: 


Simplifying
2x(x + 4)(2x + -1) = 0

Reorder the terms:
2x(4 + x)(2x + -1) = 0

Reorder the terms:
2x(4 + x)(-1 + 2x) = 0

Multiply (4 + x) * (-1 + 2x)
2x(4(-1 + 2x) + x(-1 + 2x)) = 0
2x((-1 * 4 + 2x * 4) + x(-1 + 2x)) = 0
2x((-4 + 8x) + x(-1 + 2x)) = 0
2x(-4 + 8x + (-1 * x + 2x * x)) = 0
2x(-4 + 8x + (-1x + 2x2)) = 0

Combine like terms: 8x + -1x = 7x
2x(-4 + 7x + 2x2) = 0
(-4 * 2x + 7x * 2x + 2x2 * 2x) = 0
(-8x + 14x2 + 4x3) = 0

Solving
-8x + 14x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + 7x + 2x2) = 0

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

Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, -4, 0.5}

See similar equations:

| (3z^2+z-4)+(2x^2+2z-3)= | | X^2+2.5X=114 | | 18x-72=8x+8 | | 3(4.66)+y=14 | | (x+3y+1)dy=(x+3y-1)dx | | log(10-9x)=log(10-3x) | | 3x+(-14+3x)=14 | | 41=3y-16 | | 10y-6=8y+6 | | 8x-5=19+5x | | 6-1y=1x-6 | | 9x+18=2x+3 | | 4n+16=s | | 2q+9=5q | | 6x^2-104x+320=0 | | 3z/8-6=-7 | | -x+7=27x+3+4 | | 4n+90+90=360 | | 4x+13=9x+12 | | 3y-13=35 | | -7(z-8)=-6z-7 | | 1x-4=-13 | | x/24-1/4=8 | | 7x-5=-4-16 | | 5-m/9=13 | | 700-35p=450+15p | | (5y+4)(6-Y)=0 | | 3+24=3(7x-9) | | -3x(1-2x)-3(x-4)=-5-4x | | 11=-3k-22-8k | | 2.5x=1342.5x | | a=(3x^3)(2x^4) |

Equations solver categories