20*(y^4)=3200000

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Solution for 20*(y^4)=3200000 equation:


Simplifying
20(y4) = 3200000

Solving
20y4 = 3200000

Solving for variable 'y'.

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

Divide each side by '20'.
y4 = 160000

Simplifying
y4 = 160000

Reorder the terms:
-160000 + y4 = 160000 + -160000

Combine like terms: 160000 + -160000 = 0
-160000 + y4 = 0

Factor a difference between two squares.
(400 + y2)(-400 + y2) = 0

Factor a difference between two squares.
(400 + y2)((20 + y)(-20 + y)) = 0

Subproblem 1

Set the factor '(400 + y2)' equal to zero and attempt to solve: Simplifying 400 + y2 = 0 Solving 400 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + y2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + y2 = 0 + -400 y2 = 0 + -400 Combine like terms: 0 + -400 = -400 y2 = -400 Simplifying y2 = -400 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 '(20 + y)' equal to zero and attempt to solve: Simplifying 20 + y = 0 Solving 20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + y = 0 + -20 y = 0 + -20 Combine like terms: 0 + -20 = -20 y = -20 Simplifying y = -20

Subproblem 3

Set the factor '(-20 + y)' equal to zero and attempt to solve: Simplifying -20 + y = 0 Solving -20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + y = 0 + 20 y = 0 + 20 Combine like terms: 0 + 20 = 20 y = 20 Simplifying y = 20

Solution

y = {-20, 20}

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