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

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


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

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

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

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

Combine like terms: -4x + 5x = 1x
x(-4 + 1x + 5x2) = 0
(-4 * x + 1x * x + 5x2 * x) = 0
(-4x + 1x2 + 5x3) = 0

Solving
-4x + 1x2 + 5x3 = 0

Solving for variable 'x'.

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

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


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 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1

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, -1, 0.8}

See similar equations:

| 2x-2=-11-2x | | 26=x/5 | | 5=v+28 | | (6x^2-x-13)/(3x-5) | | x=140 | | 15p+5-1=1 | | x+2(3x-2)=6x-2 | | 15y-2y= | | 1.3x-x-5=15 | | (8x+3)*(8x+3)=0 | | 2x-3y=-19 | | 4b+3(2b-1)=2b+13 | | -2(4s-1)-2=-3(6s+7)-3 | | 8+5=311 | | 9j+8j+7j= | | n/6=13 | | 8-7w-2= | | 5k+9+k-1=8(k-8)+2(2k-6) | | 4.5x-11=19 | | 9+14m-5=8m+14-4m | | 3/59.1 | | n=78 | | -8+2u=6 | | -3w+4+4w=5-4 | | 3+3m-2=9m+7-3m | | 36/60 | | 1/2+i | | 3+4w-3w=5-3 | | 7x+4(x+1)=13 | | 12x+45=-3x+120 | | 8-4x=11-(5x+6) | | -7+8(x+2)=-9+2x |

Equations solver categories