3x^3-15x^2=4x(2-5x)

Simple and best practice solution for 3x^3-15x^2=4x(2-5x) 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 3x^3-15x^2=4x(2-5x) equation: 


Simplifying
3x3 + -15x2 = 4x(2 + -5x)

Reorder the terms:
-15x2 + 3x3 = 4x(2 + -5x)
-15x2 + 3x3 = (2 * 4x + -5x * 4x)
-15x2 + 3x3 = (8x + -20x2)

Solving
-15x2 + 3x3 = 8x + -20x2

Solving for variable 'x'.

Reorder the terms:
-8x + -15x2 + 20x2 + 3x3 = 8x + -20x2 + -8x + 20x2

Combine like terms: -15x2 + 20x2 = 5x2
-8x + 5x2 + 3x3 = 8x + -20x2 + -8x + 20x2

Reorder the terms:
-8x + 5x2 + 3x3 = 8x + -8x + -20x2 + 20x2

Combine like terms: 8x + -8x = 0
-8x + 5x2 + 3x3 = 0 + -20x2 + 20x2
-8x + 5x2 + 3x3 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-8x + 5x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 5x + 3x2) = 0

Factor a trinomial.
x((-8 + -3x)(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 '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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, -2.666666667, 1}

See similar equations:

| 34+f=43 | | 33+16a=4a+49 | | 19+d=27 | | 0.0134x^2+0.0214x+0.0304=0 | | 5p+6=9+4p | | (x+3)*(x+5)=0 | | r+14=20 | | (x+3)*(x+5)=1 | | d+2d=84 | | 2x-21=6x+3 | | q+12=19 | | x=-2x+9 | | 47+p=55 | | (x+3)*(x+5)=y | | m+8=17 | | 47=w-38 | | 6*7-4= | | n-9=42 | | f-13=18 | | 3x^3+11x^2-38x+24=0 | | 28=d-6 | | 9x^2=x | | r-10=22 | | =-x^2+6x+10 | | q-85=8 | | 40=p-11 | | (4x-1)*(x+8)=0 | | 7=m-5 | | p-6=27 | | n-45=45 | | m-21=5 | | (4x-1)*(x+8)=1 |

Equations solver categories