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

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Solution for (4r^3+3r^4)-(r^4-5r^3)= 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}

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