(5y^5+7y^2-5)+(6y^5-4y^2+5)=

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Solution for (5y^5+7y^2-5)+(6y^5-4y^2+5)= equation: 


Simplifying
(5y5 + 7y2 + -5) + (6y5 + -4y2 + 5) = 0

Reorder the terms:
(-5 + 7y2 + 5y5) + (6y5 + -4y2 + 5) = 0

Remove parenthesis around (-5 + 7y2 + 5y5)
-5 + 7y2 + 5y5 + (6y5 + -4y2 + 5) = 0

Reorder the terms:
-5 + 7y2 + 5y5 + (5 + -4y2 + 6y5) = 0

Remove parenthesis around (5 + -4y2 + 6y5)
-5 + 7y2 + 5y5 + 5 + -4y2 + 6y5 = 0

Reorder the terms:
-5 + 5 + 7y2 + -4y2 + 5y5 + 6y5 = 0

Combine like terms: -5 + 5 = 0
0 + 7y2 + -4y2 + 5y5 + 6y5 = 0
7y2 + -4y2 + 5y5 + 6y5 = 0

Combine like terms: 7y2 + -4y2 = 3y2
3y2 + 5y5 + 6y5 = 0

Combine like terms: 5y5 + 6y5 = 11y5
3y2 + 11y5 = 0

Solving
3y2 + 11y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(3 + 11y3) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(3 + 11y3)' equal to zero and attempt to solve:

Simplifying
3 + 11y3 = 0

Solving
3 + 11y3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 11y3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 11y3 = 0 + -3
11y3 = 0 + -3

Combine like terms: 0 + -3 = -3
11y3 = -3

Divide each side by '11'.
y3 = -0.2727272727

Simplifying
y3 = -0.2727272727

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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