(5r^5+11r^2-4)-(9r^5-9r^2+16)=

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Solution for (5r^5+11r^2-4)-(9r^5-9r^2+16)= equation:


Simplifying
(5r5 + 11r2 + -4) + -1(9r5 + -9r2 + 16) = 0

Reorder the terms:
(-4 + 11r2 + 5r5) + -1(9r5 + -9r2 + 16) = 0

Remove parenthesis around (-4 + 11r2 + 5r5)
-4 + 11r2 + 5r5 + -1(9r5 + -9r2 + 16) = 0

Reorder the terms:
-4 + 11r2 + 5r5 + -1(16 + -9r2 + 9r5) = 0
-4 + 11r2 + 5r5 + (16 * -1 + -9r2 * -1 + 9r5 * -1) = 0
-4 + 11r2 + 5r5 + (-16 + 9r2 + -9r5) = 0

Reorder the terms:
-4 + -16 + 11r2 + 9r2 + 5r5 + -9r5 = 0

Combine like terms: -4 + -16 = -20
-20 + 11r2 + 9r2 + 5r5 + -9r5 = 0

Combine like terms: 11r2 + 9r2 = 20r2
-20 + 20r2 + 5r5 + -9r5 = 0

Combine like terms: 5r5 + -9r5 = -4r5
-20 + 20r2 + -4r5 = 0

Solving
-20 + 20r2 + -4r5 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 5r2 + -1r5) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + 5r2 + -1r5)' equal to zero and attempt to solve: Simplifying -5 + 5r2 + -1r5 = 0 Solving -5 + 5r2 + -1r5 = 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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