(y^5-4)(y^5-7)=

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


Simplifying
(y5 + -4)(y5 + -7) = 0

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

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

Multiply (-4 + y5) * (-7 + y5)
(-4(-7 + y5) + y5(-7 + y5)) = 0
((-7 * -4 + y5 * -4) + y5(-7 + y5)) = 0
((28 + -4y5) + y5(-7 + y5)) = 0
(28 + -4y5 + (-7 * y5 + y5 * y5)) = 0
(28 + -4y5 + (-7y5 + y10)) = 0

Combine like terms: -4y5 + -7y5 = -11y5
(28 + -11y5 + y10) = 0

Solving
28 + -11y5 + y10 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -1y5)(7 + -1y5) = 0


Subproblem 1
Set the factor '(4 + -1y5)' equal to zero and attempt to solve:

Simplifying
4 + -1y5 = 0

Solving
4 + -1y5 = 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 + -1y5 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y5 = 0 + -4
-1y5 = 0 + -4

Combine like terms: 0 + -4 = -4
-1y5 = -4

Divide each side by '-1'.
y5 = 4

Simplifying
y5 = 4

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 '(7 + -1y5)' equal to zero and attempt to solve:

Simplifying
7 + -1y5 = 0

Solving
7 + -1y5 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y5 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y5 = 0 + -7
-1y5 = 0 + -7

Combine like terms: 0 + -7 = -7
-1y5 = -7

Divide each side by '-1'.
y5 = 7

Simplifying
y5 = 7

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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