5x^4-80=

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Solution for 5x^4-80= equation:


Simplifying
5x4 + -80 = 0

Reorder the terms:
-80 + 5x4 = 0

Solving
-80 + 5x4 = 0

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 5x4 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 5x4 = 0 + 80
5x4 = 0 + 80

Combine like terms: 0 + 80 = 80
5x4 = 80

Divide each side by '5'.
x4 = 16

Simplifying
x4 = 16

Reorder the terms:
-16 + x4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + x4 = 0

Factor a difference between two squares.
(4 + x2)(-4 + x2) = 0

Factor a difference between two squares.
(4 + x2)((2 + x)(-2 + x)) = 0

Subproblem 1

Set the factor '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Simplifying x2 = -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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 3

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

x = {-2, 2}

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