x(x-2)(3x-5)=0

Simple and best practice solution for x(x-2)(3x-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-2)(3x-5)=0 equation: 


Simplifying
x(x + -2)(3x + -5) = 0

Reorder the terms:
x(-2 + x)(3x + -5) = 0

Reorder the terms:
x(-2 + x)(-5 + 3x) = 0

Multiply (-2 + x) * (-5 + 3x)
x(-2(-5 + 3x) + x(-5 + 3x)) = 0
x((-5 * -2 + 3x * -2) + x(-5 + 3x)) = 0
x((10 + -6x) + x(-5 + 3x)) = 0
x(10 + -6x + (-5 * x + 3x * x)) = 0
x(10 + -6x + (-5x + 3x2)) = 0

Combine like terms: -6x + -5x = -11x
x(10 + -11x + 3x2) = 0
(10 * x + -11x * x + 3x2 * x) = 0
(10x + -11x2 + 3x3) = 0

Solving
10x + -11x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -11x + 3x2) = 0

Factor a trinomial.
x((5 + -3x)(2 + -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 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 3
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
Solution
x = {0, 1.666666667, 2}

See similar equations:

| (3x-6)(3x+8)=0 | | 2s^2+s+12=0 | | 96-3x=3x-18 | | x+-x= | | 5x-10=26 | | 10-5x=26 | | 5+3w=90 | | 210-4x=32x+22 | | 3x+20=4x-25 | | 6=-4x-2x^2 | | 2x-19=7x+24 | | 200+x=0.6*x | | 2x^2-9=x^2-20 | | 6x^8-54x^7+24x^6=0 | | .5x+2.5y=1200 | | 7x+8(y-4x)=5(x+6y)-2x | | 4x+5/16=15 | | 3(2a-1)+4=3a-7[2(3a-1)-(-6)] | | -5(y+5)=-8y-22 | | 10+2Q=100/Q+10+Q | | .5x^2-3.5x-5=0 | | =-3+4i | | 1/2x^2-7/2x-5=0 | | 3u-6=-24 | | 3+2y=13 | | =(1+-3i)*(-2+5i) | | -3(2x+1)-13= | | =(1-3i)x(-2+5i) | | v^2-2v-49=0 | | =3+4i | | =(3+2i)+(5-i) | | =5+i |

Equations solver categories