x^3+7x^2-60x=0

Simple and best practice solution for x^3+7x^2-60x=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^3+7x^2-60x=0 equation:


Simplifying
x3 + 7x2 + -60x = 0

Reorder the terms:
-60x + 7x2 + x3 = 0

Solving
-60x + 7x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-60 + 7x + x2) = 0

Factor a trinomial.
x((-12 + -1x)(5 + -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 '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 3

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0, -12, 5}

See similar equations:

| p^2-7p-60=0 | | 9=4x-3(x-2) | | 4=7x-3 | | 64=4(3.14)r^2 | | 138=17-11k | | 5=2-2x | | 6x^2+x=0 | | 7x+20=4x-13 | | 51=3+2(3)h | | 9x+7y=40 | | 7x-14=4+7 | | (2x+7)(x-3)=0 | | 5y-3y=-10 | | p^2=2p | | -2(-2x)= | | y^2-2y-15=0 | | w-6=-16 | | -2x(-2x)= | | -2x(2x)= | | 81=x-19 | | x(2x-11)=0 | | 111+f=100 | | y^2-4y=21 | | -52=-52+k | | (x+8)(x+2)=0 | | .25x+40=60 | | x+(-5x)= | | 6-3x(-1)=12 | | 18-3p=6+p | | 88=25+7x | | 15x-5=7+12x | | h=-5t^2+20t+25 |

Equations solver categories