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

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


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

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

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

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

Combine like terms: -2x + 5x = 3x
x(-5 + 3x + 2x2) = 0
(-5 * x + 3x * x + 2x2 * x) = 0
(-5x + 3x2 + 2x3) = 0

Solving
-5x + 3x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 3x + 2x2) = 0

Factor a trinomial.
x((-5 + -2x)(1 + -1x)) = 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 '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 3
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
Solution
x = {0, -2.5, 1}

See similar equations:

| 10-3x=-1-8x | | -4(8+5n)-7x=25 | | bc=8v-2v+42 | | 5h+2(m+1)=23 | | 8-4(3x-2)-8x= | | -3x+6(-3x-6)=-183 | | .5=-.6j+1j | | 6w+5[w-2]=23 | | p=5k+5w | | 10-2x-6-4x=7 | | (3x+15)+(2x+25)=180 | | 3x=-1+8x | | x=28-19x | | Wx+b=y | | 2+3[x+1]=17 | | y^5-9y^3+8y^2-72=0 | | 4n-7=5 | | 3x=-11+8x | | 8x+10=32 | | 7x=x+20 | | -(x-4)=2x | | 4x+4y-5=0 | | x+m=36 | | -8(2m-2)=51-11m | | 6x(x-1)=28-19x | | 2(x+2)=-3x+3/8 | | -7x+70=7x-70 | | -5.5(-2.9n-2.5)=93.5 | | 2x+33=4x+3 | | -b+1.6b=9 | | 3*(2+x)=18 | | 8(x+11)=4x-8 |

Equations solver categories