-7y^4(5y^2+6y-8)=

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Solution for -7y^4(5y^2+6y-8)= equation: 


Simplifying
-7y4(5y2 + 6y + -8) = 0

Reorder the terms:
-7y4(-8 + 6y + 5y2) = 0
(-8 * -7y4 + 6y * -7y4 + 5y2 * -7y4) = 0
(56y4 + -42y5 + -35y6) = 0

Solving
56y4 + -42y5 + -35y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7y4'.
7y4(8 + -6y + -5y2) = 0

Factor a trinomial.
7y4((4 + -5y)(2 + y)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve:

Simplifying
y4 = 0

Solving
y4 = 0

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

Simplifying
y4 = 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 '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {0.8, -2}

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