(4r^2-2r)(5rs+6s^3)=

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Solution for (4r^2-2r)(5rs+6s^3)= equation: 


Simplifying
(4r2 + -2r)(5rs + 6s3) = 0

Reorder the terms:
(-2r + 4r2)(5rs + 6s3) = 0

Multiply (-2r + 4r2) * (5rs + 6s3)
(-2r * (5rs + 6s3) + 4r2 * (5rs + 6s3)) = 0
((5rs * -2r + 6s3 * -2r) + 4r2 * (5rs + 6s3)) = 0

Reorder the terms:
((-12rs3 + -10r2s) + 4r2 * (5rs + 6s3)) = 0
((-12rs3 + -10r2s) + 4r2 * (5rs + 6s3)) = 0
(-12rs3 + -10r2s + (5rs * 4r2 + 6s3 * 4r2)) = 0

Reorder the terms:
(-12rs3 + -10r2s + (24r2s3 + 20r3s)) = 0
(-12rs3 + -10r2s + (24r2s3 + 20r3s)) = 0
(-12rs3 + -10r2s + 24r2s3 + 20r3s) = 0

Solving
-12rs3 + -10r2s + 24r2s3 + 20r3s = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2rs'.
2rs(-6s2 + -5r + 12rs2 + 10r2) = 0

Ignore the factor 2.

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

Simplifying
rs = 0

Solving
rs = 0

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

Simplifying
rs = 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 '(-6s2 + -5r + 12rs2 + 10r2)' equal to zero and attempt to solve:

Simplifying
-6s2 + -5r + 12rs2 + 10r2 = 0

Reorder the terms:
-5r + 12rs2 + 10r2 + -6s2 = 0

Solving
-5r + 12rs2 + 10r2 + -6s2 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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