2x^4-72=0

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Solution for 2x^4-72=0 equation:


Simplifying
2x4 + -72 = 0

Reorder the terms:
-72 + 2x4 = 0

Solving
-72 + 2x4 = 0

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + 2x4 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 2x4 = 0 + 72
2x4 = 0 + 72

Combine like terms: 0 + 72 = 72
2x4 = 72

Divide each side by '2'.
x4 = 36

Simplifying
x4 = 36

Reorder the terms:
-36 + x4 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + x4 = 0

Factor a difference between two squares.
(6 + x2)(-6 + x2) = 0

Subproblem 1

Set the factor '(6 + x2)' equal to zero and attempt to solve: Simplifying 6 + x2 = 0 Solving 6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 = 0 + -6 x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 = -6 Simplifying x2 = -6 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 '(-6 + x2)' equal to zero and attempt to solve: Simplifying -6 + x2 = 0 Solving -6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x2 = 0 + 6 x2 = 0 + 6 Combine like terms: 0 + 6 = 6 x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}

Solution

x = {-2.449489743, 2.449489743}

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