(-5r^4s^2)(9s^3-7r+4)=

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Solution for (-5r^4s^2)(9s^3-7r+4)= equation: 


Simplifying
(-5r4s2)(9s3 + -7r + 4) = 0

Remove parenthesis around (-5r4s2)
-5r4s2(9s3 + -7r + 4) = 0

Reorder the terms:
-5r4s2(4 + -7r + 9s3) = 0
(4 * -5r4s2 + -7r * -5r4s2 + 9s3 * -5r4s2) = 0

Reorder the terms:
(-20r4s2 + -45r4s5 + 35r5s2) = 0
(-20r4s2 + -45r4s5 + 35r5s2) = 0

Solving
-20r4s2 + -45r4s5 + 35r5s2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r4s2'.
5r4s2(-4 + -9s3 + 7r) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'r4s2' equal to zero and attempt to solve:

Simplifying
r4s2 = 0

Solving
r4s2 = 0

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

Simplifying
r4s2 = 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 '(-4 + -9s3 + 7r)' equal to zero and attempt to solve:

Simplifying
-4 + -9s3 + 7r = 0

Reorder the terms:
-4 + 7r + -9s3 = 0

Solving
-4 + 7r + -9s3 = 0

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

Add '4' to each side of the equation.
-4 + 7r + 4 + -9s3 = 0 + 4

Reorder the terms:
-4 + 4 + 7r + -9s3 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7r + -9s3 = 0 + 4
7r + -9s3 = 0 + 4

Combine like terms: 0 + 4 = 4
7r + -9s3 = 4

Add '9s3' to each side of the equation.
7r + -9s3 + 9s3 = 4 + 9s3

Combine like terms: -9s3 + 9s3 = 0
7r + 0 = 4 + 9s3
7r = 4 + 9s3

Divide each side by '7'.
r = 0.5714285714 + 1.285714286s3

Simplifying
r = 0.5714285714 + 1.285714286s3
Solution
r = {0.5714285714 + 1.285714286s3}

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