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

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


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

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

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

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

Combine like terms: 1x + -8x = -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((-1 + -2x)(4 + -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 '(-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

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, -0.5, 4}

See similar equations:

| (-3+d)=8d+32 | | -8x=-4x-24 | | 7m-4=6m-8 | | -29=-a | | 3m-12n+2m+8m= | | x(3x+8)=3 | | 2(x)(x+2)=70 | | 4x(7+2x)-(2+4x)=12 | | 3x^2+17x+2=0 | | -3[2w]=-12 | | -3[2w]=-21 | | -3[2w]=-212 | | y=-3/2(-2)+3 | | y=-3/2x+3 | | 1x(2+2x)-(1+1x)=4 | | [4f+1]-2=5 | | 81v^2-4=0 | | log(1+k)=0.04 | | 3x(7+2x)-(2+4x)=22 | | 2(x-4)-7=4x-2(5+x) | | 5=10(1-e-x) | | -6x+2y-(4+x)+(x+4)= | | 4=3(x+0.5) | | -0.3(5-x)-2(y+0.8)= | | 27=4c+7c-2c | | 9=10r-16r+5 | | 3x(7+2x)-(2+4x)=12 | | (n-6)*8=16 | | (n-6)*6=28 | | 3(5+8z)= | | -3x^2-6x+6=0 | | 7.1+8.5x=15.3+x |

Equations solver categories