-28=-y^4-12

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Solution for -28=-y^4-12 equation:


Simplifying
-28 = -1y4 + -12

Reorder the terms:
-28 = -12 + -1y4

Solving
-28 = -12 + -1y4

Solving for variable 'y'.

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

Add 'y4' to each side of the equation.
-28 + y4 = -12 + -1y4 + y4

Combine like terms: -1y4 + y4 = 0
-28 + y4 = -12 + 0
-28 + y4 = -12

Add '28' to each side of the equation.
-28 + 28 + y4 = -12 + 28

Combine like terms: -28 + 28 = 0
0 + y4 = -12 + 28
y4 = -12 + 28

Combine like terms: -12 + 28 = 16
y4 = 16

Simplifying
y4 = 16

Reorder the terms:
-16 + y4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + y4 = 0

Factor a difference between two squares.
(4 + y2)(-4 + y2) = 0

Factor a difference between two squares.
(4 + y2)((2 + y)(-2 + y)) = 0

Subproblem 1

Set the factor '(4 + y2)' equal to zero and attempt to solve: Simplifying 4 + y2 = 0 Solving 4 + y2 = 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 + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y2 = 0 + -4 y2 = 0 + -4 Combine like terms: 0 + -4 = -4 y2 = -4 Simplifying y2 = -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 '(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

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 = {-2, 2}

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