4x(x+5)(2x-1)=0

Simple and best practice solution for 4x(x+5)(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 4x(x+5)(2x-1)=0 equation: 


Simplifying
4x(x + 5)(2x + -1) = 0

Reorder the terms:
4x(5 + x)(2x + -1) = 0

Reorder the terms:
4x(5 + x)(-1 + 2x) = 0

Multiply (5 + x) * (-1 + 2x)
4x(5(-1 + 2x) + x(-1 + 2x)) = 0
4x((-1 * 5 + 2x * 5) + x(-1 + 2x)) = 0
4x((-5 + 10x) + x(-1 + 2x)) = 0
4x(-5 + 10x + (-1 * x + 2x * x)) = 0
4x(-5 + 10x + (-1x + 2x2)) = 0

Combine like terms: 10x + -1x = 9x
4x(-5 + 9x + 2x2) = 0
(-5 * 4x + 9x * 4x + 2x2 * 4x) = 0
(-20x + 36x2 + 8x3) = 0

Solving
-20x + 36x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + 9x + 2x2) = 0

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

Ignore the factor 4.

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 '(-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

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, -5, 0.5}

See similar equations:

| 3m+1=6 | | 1-0.2x=1 | | 4(v-9)-6=-7(-4v+8)-6v | | 20X+5y=-15 | | Q^2-3Q-1=14 | | cos(x)*sin(2x)=0 | | 3=13-2q | | (x-5)(3x+9)=0 | | 4=22n | | (2q+1)(q-1)=18 | | 56*56+33*33= | | (4x-10)=(6x-10) | | 12=9n | | 10=-2r+4r | | 5x^2-45x+82=12 | | 6=9k | | 3(a+b)=15 | | 5x+8=3x+19 | | 2q-15=0 | | 7x+35=11x-5 | | a(a^2+4)= | | .5=4p | | T^2+5=6 | | tx^3-216=0 | | Y^3+1=9 | | 3x-70=x+10 | | 5n^2+3n-1=1 | | 2x+8+3x-14+3x-14=180 | | 9-3(5-n)=30 | | 4d-10=6 | | 5j=5j+4 | | A^2+7a+2=37 |

Equations solver categories