(12y^2+8)-(-7y^4-6y^2+8)=

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Solution for (12y^2+8)-(-7y^4-6y^2+8)= equation: 


Simplifying
(12y2 + 8) + -1(-7y4 + -6y2 + 8) = 0

Reorder the terms:
(8 + 12y2) + -1(-7y4 + -6y2 + 8) = 0

Remove parenthesis around (8 + 12y2)
8 + 12y2 + -1(-7y4 + -6y2 + 8) = 0

Reorder the terms:
8 + 12y2 + -1(8 + -6y2 + -7y4) = 0
8 + 12y2 + (8 * -1 + -6y2 * -1 + -7y4 * -1) = 0
8 + 12y2 + (-8 + 6y2 + 7y4) = 0

Reorder the terms:
8 + -8 + 12y2 + 6y2 + 7y4 = 0

Combine like terms: 8 + -8 = 0
0 + 12y2 + 6y2 + 7y4 = 0
12y2 + 6y2 + 7y4 = 0

Combine like terms: 12y2 + 6y2 = 18y2
18y2 + 7y4 = 0

Solving
18y2 + 7y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(18 + 7y2) = 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 '(18 + 7y2)' equal to zero and attempt to solve:

Simplifying
18 + 7y2 = 0

Solving
18 + 7y2 = 0

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

Add '-18' to each side of the equation.
18 + -18 + 7y2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 7y2 = 0 + -18
7y2 = 0 + -18

Combine like terms: 0 + -18 = -18
7y2 = -18

Divide each side by '7'.
y2 = -2.571428571

Simplifying
y2 = -2.571428571

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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