(3r^5+5r^2-4)-(-7r^5-3r^2+16)=

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Solution for (3r^5+5r^2-4)-(-7r^5-3r^2+16)= equation:


Simplifying
(3r5 + 5r2 + -4) + -1(-7r5 + -3r2 + 16) = 0

Reorder the terms:
(-4 + 5r2 + 3r5) + -1(-7r5 + -3r2 + 16) = 0

Remove parenthesis around (-4 + 5r2 + 3r5)
-4 + 5r2 + 3r5 + -1(-7r5 + -3r2 + 16) = 0

Reorder the terms:
-4 + 5r2 + 3r5 + -1(16 + -3r2 + -7r5) = 0
-4 + 5r2 + 3r5 + (16 * -1 + -3r2 * -1 + -7r5 * -1) = 0
-4 + 5r2 + 3r5 + (-16 + 3r2 + 7r5) = 0

Reorder the terms:
-4 + -16 + 5r2 + 3r2 + 3r5 + 7r5 = 0

Combine like terms: -4 + -16 = -20
-20 + 5r2 + 3r2 + 3r5 + 7r5 = 0

Combine like terms: 5r2 + 3r2 = 8r2
-20 + 8r2 + 3r5 + 7r5 = 0

Combine like terms: 3r5 + 7r5 = 10r5
-20 + 8r2 + 10r5 = 0

Solving
-20 + 8r2 + 10r5 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 4r2 + 5r5) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + 4r2 + 5r5)' equal to zero and attempt to solve: Simplifying -10 + 4r2 + 5r5 = 0 Solving -10 + 4r2 + 5r5 = 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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