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

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


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

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

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

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

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

Solving
-2x + 9x2 + 5x3 = 0

Solving for variable 'x'.

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

Factor a trinomial.
x((-2 + -1x)(1 + -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 '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, -2, 0.2}

See similar equations:

| 4(4k+2)-8(k-1)=3(2k+3)-2 | | x-4=5-6x | | 6a+7+11=0 | | 3(2x-1)+3(x)=6(3) | | x-5+2x=-5+9x | | -7c+2=-33 | | 5+(5x+2)=9x-1 | | 28-12=4(x-7) | | 2x-3=-6x+4 | | -8x+9x+(-3x)= | | 3(10-5(-4x-5))=60x+105 | | -5(3t-5)+4t=2t-5 | | 5(-14+8)= | | 5(x-14+8)= | | 5x-10(x+1)=-5x+19 | | 5x^2-9x-36=0 | | 30(p+140)=100p | | 3x+5y=22 | | 12x+4=22 | | 9x+5=-10 | | 30(p+140)=p+140 | | -6n+11=-5n-15 | | 30(p+140)=p | | 6x^2+12x=15 | | x^2+3x-150=0 | | 30(p+140)= | | 6x^4-24x^3+4x^2-16x=0 | | 6(5+c)=5(c-2) | | 28-12=4(x-3) | | 3y+4=3(6-7y) | | .33+.66m=.66m-.66 | | 8x-16y-5x-12y= |

Equations solver categories