(4r^3+3r^4)-(r^4-5r^3)=0

Simple and best practice solution for (4r^3+3r^4)-(r^4-5r^3)=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 (4r^3+3r^4)-(r^4-5r^3)=0 equation: 


Simplifying
(4r3 + 3r4) + -1(r4 + -5r3) = 0

Remove parenthesis around (4r3 + 3r4)
4r3 + 3r4 + -1(r4 + -5r3) = 0

Reorder the terms:
4r3 + 3r4 + -1(-5r3 + r4) = 0
4r3 + 3r4 + (-5r3 * -1 + r4 * -1) = 0
4r3 + 3r4 + (5r3 + -1r4) = 0

Reorder the terms:
4r3 + 5r3 + 3r4 + -1r4 = 0

Combine like terms: 4r3 + 5r3 = 9r3
9r3 + 3r4 + -1r4 = 0

Combine like terms: 3r4 + -1r4 = 2r4
9r3 + 2r4 = 0

Solving
9r3 + 2r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r3'.
r3(9 + 2r) = 0


Subproblem 1
Set the factor 'r3' equal to zero and attempt to solve:

Simplifying
r3 = 0

Solving
r3 = 0

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

Simplifying
r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9 + 2r)' equal to zero and attempt to solve:

Simplifying
9 + 2r = 0

Solving
9 + 2r = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2r = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2r = 0 + -9
2r = 0 + -9

Combine like terms: 0 + -9 = -9
2r = -9

Divide each side by '2'.
r = -4.5

Simplifying
r = -4.5
Solution
r = {-4.5}

See similar equations:

| 8y-3=3-3y | | 0.04+1.6=0 | | 4x-14-6x+4=7-9x-9+3x | | d^2-4d-12= | | 3(2t-2)=2(5t+5) | | 2(6x-4)=4x-9 | | 3x+7x-2= | | s^2-9s+18=0 | | 11x-68=42+6x | | 8(6x+7)+2(x-9)= | | 0.2x+18.8=x-7.28 | | 2/7y+1/2=5/2 | | m+8=27 | | 4(3x-1.9)=5x-7.6 | | 126/X=63 | | 2.49+1.24a=11.17 | | x+(x+10)=90 | | x^4-2x+1=0 | | -0.1x+4.89=-0.3x+9.49 | | 7+1(-5)= | | -31-(2y-1)=3(y-1)+4y | | 12*Y=48 | | 6(t-6)+4t=5(2t+5)-12 | | 2x-10=10x-4 | | 7=15+-2y | | 10-8x=-62 | | x/8-12=56 | | -31-(2y-1)=3(y-1)+4 | | 3(x+3.18)=2x | | -17-7x=-10x+31 | | 2x^2+-9=0 | | 10/5=8/6 |

Equations solver categories