(x-4)(5x)(5+x)=

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


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

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

Remove parenthesis around (5x)
(-4 + x) * 5x(5 + x) = 0

Reorder the terms for easier multiplication:
5x(-4 + x)(5 + x) = 0

Multiply (-4 + x) * (5 + x)
5x(-4(5 + x) + x(5 + x)) = 0
5x((5 * -4 + x * -4) + x(5 + x)) = 0
5x((-20 + -4x) + x(5 + x)) = 0
5x(-20 + -4x + (5 * x + x * x)) = 0
5x(-20 + -4x + (5x + x2)) = 0

Combine like terms: -4x + 5x = 1x
5x(-20 + 1x + x2) = 0
(-20 * 5x + 1x * 5x + x2 * 5x) = 0
(-100x + 5x2 + 5x3) = 0

Solving
-100x + 5x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-20 + x + x2) = 0

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

Ignore the factor 5.

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 '(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, -5, 4}

See similar equations:

| X^2+21+100=0 | | 4(6x-2)=2(0.75+5) | | 3x^2-18x-3=45 | | 0.9=3d | | -5v+3(v-5)=5 | | 4u-38=-2u-5 | | 8(x-n)=nx+b | | .14(y-4)+.10y=.04y-1.4 | | nx+b=8(x+n) | | y=-16x^2+20x+60 | | 56-4c=54+6 | | -1x-1=8 | | X^2-50x+144=0 | | 6x-2x=8x+14-6x | | 6-3i=-7-I | | 7x^2-9x+4=0 | | 4-2y+y=12 | | 3h+5=7h-5 | | 29x^2+100x=0 | | 4(x-9)=36+4 | | 2x-18=7x-20 | | 4x+10+y=180 | | 0=-x^2-4x-3 | | -3x^2-4x+7=0 | | 1x-4x+12=6 | | -29-14=x | | -83+(-55)=x | | 3x^2-6xy+11y-60=0 | | 2b-7=b+3 | | (3z-1)(z+3)=1 | | 2x-1=3cosx | | 6a^2-13a-15=0 |

Equations solver categories