r^4=4r^3+12r^2

Simple and best practice solution for r^4=4r^3+12r^2 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 r^4=4r^3+12r^2 equation: 


Simplifying
r4 = 4r3 + 12r2

Reorder the terms:
r4 = 12r2 + 4r3

Solving
r4 = 12r2 + 4r3

Solving for variable 'r'.

Reorder the terms:
-12r2 + -4r3 + r4 = 12r2 + 4r3 + -12r2 + -4r3

Reorder the terms:
-12r2 + -4r3 + r4 = 12r2 + -12r2 + 4r3 + -4r3

Combine like terms: 12r2 + -12r2 = 0
-12r2 + -4r3 + r4 = 0 + 4r3 + -4r3
-12r2 + -4r3 + r4 = 4r3 + -4r3

Combine like terms: 4r3 + -4r3 = 0
-12r2 + -4r3 + r4 = 0

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(-12 + -4r + r2) = 0

Factor a trinomial.
r2((-2 + -1r)(6 + -1r)) = 0


Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve:

Simplifying
r2 = 0

Solving
r2 = 0

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

Simplifying
r2 = 0

Take the square root of each side:
r = {0}

Subproblem 2
Set the factor '(-2 + -1r)' equal to zero and attempt to solve:

Simplifying
-2 + -1r = 0

Solving
-2 + -1r = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1r = 0 + 2
-1r = 0 + 2

Combine like terms: 0 + 2 = 2
-1r = 2

Divide each side by '-1'.
r = -2

Simplifying
r = -2

Subproblem 3
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Solution
r = {0, -2, 6}

See similar equations:

| 3(2m-4)=2(10-m) | | -7c-18-2c=0 | | 0.05x+0.10(24-x)=0.75(24) | | 4x^2-12=22x | | 8x+1+6y=29 | | 8x+5y=38 | | b^2-23=0 | | (7+z)(5z+9)=0 | | 2(3x-4)=-(x+2) | | 5x^2+12x+1=0 | | 0=25m+75 | | 7x^2=11 | | 8-12m=32 | | 12.6=3b | | C+4=6c-11 | | 10v^3=10v | | 6x+y=1 | | 4(2x-3)=5(x+3) | | 8p^2+6=-3p | | 28+28= | | 5(x+x+x)=150 | | 5(t+t+t)=50 | | 12k^2+10=11k | | -8(x-1)=-16 | | 9x^3-8=0 | | 4*-9=19 | | 3(w-18)=244 | | 3(2x-5)=9-2x | | -70-35x=-245 | | 112-6x=30x+16 | | 4(x-1)-2(3x+4)=6 | | ln(x-3)+ln(x-2)=ln(x-7) |

Equations solver categories