5x^3-25x^2=-30x

Simple and best practice solution for 5x^3-25x^2=-30x 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 5x^3-25x^2=-30x equation:


Simplifying
5x3 + -25x2 = -30x

Reorder the terms:
-25x2 + 5x3 = -30x

Solving
-25x2 + 5x3 = -30x

Solving for variable 'x'.

Reorder the terms:
30x + -25x2 + 5x3 = -30x + 30x

Combine like terms: -30x + 30x = 0
30x + -25x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(6 + -5x + x2) = 0

Factor a trinomial.
5x((2 + -1x)(3 + -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 '(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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {0, 2, 3}

See similar equations:

| 5x^3-25x^2=30x | | 5(-4x+3y)=5(-19) | | -4/3x+7=-19/3 | | x^7*14x-1=13 | | 8(x+6)=122-(x-7) | | (x^3)+(8x^2)+24x+64=0 | | -3x+11=6x-43 | | -6(x+3)-12=13+5 | | 5x+5=7x-3 | | (x^2)+4x+16=0 | | 14(2c-9)=5c-2 | | x^2-7=-3 | | f(x)=4+x+2x^2 | | (-2/3-1/4u)=(-2/5) | | (3/4+1)/(1-10/3) | | q=10000p^3 | | 3/4+1/1-10/3 | | 8x+15y=72 | | 5/2y=30 | | -288=-324z+360/6 | | x-(0.3x)=12 | | x^2-x-15625=0 | | 8=-9z+10/-6 | | 20=4b | | 2(2v-7)=22 | | 2a-12=12 | | 2(4w+9)=98 | | 6(2a-b)-8(2b-4a)= | | (9x^2)-17x-2=0 | | f(x)=4x^2-2x+8 | | f(x)=4x-2x+8 | | (1/7)^-2 |

Equations solver categories