(2-y^5)(2+y^5)=

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


Simplifying
(2 + -1y5)(2 + y5) = 0

Multiply (2 + -1y5) * (2 + y5)
(2(2 + y5) + -1y5 * (2 + y5)) = 0
((2 * 2 + y5 * 2) + -1y5 * (2 + y5)) = 0
((4 + 2y5) + -1y5 * (2 + y5)) = 0
(4 + 2y5 + (2 * -1y5 + y5 * -1y5)) = 0
(4 + 2y5 + (-2y5 + -1y10)) = 0

Combine like terms: 2y5 + -2y5 = 0
(4 + 0 + -1y10) = 0
(4 + -1y10) = 0

Solving
4 + -1y10 = 0

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + -1y10 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y10 = 0 + -4
-1y10 = 0 + -4

Combine like terms: 0 + -4 = -4
-1y10 = -4

Divide each side by '-1'.
y10 = 4

Simplifying
y10 = 4

Reorder the terms:
-4 + y10 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + y10 = 0

Factor a difference between two squares.
(2 + y5)(-2 + y5) = 0

Subproblem 1

Set the factor '(2 + y5)' equal to zero and attempt to solve: Simplifying 2 + y5 = 0 Solving 2 + y5 = 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 + y5 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y5 = 0 + -2 y5 = 0 + -2 Combine like terms: 0 + -2 = -2 y5 = -2 Simplifying y5 = -2 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 '(-2 + y5)' equal to zero and attempt to solve: Simplifying -2 + y5 = 0 Solving -2 + y5 = 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 + y5 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y5 = 0 + 2 y5 = 0 + 2 Combine like terms: 0 + 2 = 2 y5 = 2 Simplifying y5 = 2 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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