2x^4-200=0

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Solution for 2x^4-200=0 equation:


Simplifying
2x4 + -200 = 0

Reorder the terms:
-200 + 2x4 = 0

Solving
-200 + 2x4 = 0

Solving for variable 'x'.

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

Add '200' to each side of the equation.
-200 + 200 + 2x4 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + 2x4 = 0 + 200
2x4 = 0 + 200

Combine like terms: 0 + 200 = 200
2x4 = 200

Divide each side by '2'.
x4 = 100

Simplifying
x4 = 100

Reorder the terms:
-100 + x4 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + x4 = 0

Factor a difference between two squares.
(10 + x2)(-10 + x2) = 0

Subproblem 1

Set the factor '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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 '(-10 + x2)' equal to zero and attempt to solve: Simplifying -10 + x2 = 0 Solving -10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x2 = 0 + 10 x2 = 0 + 10 Combine like terms: 0 + 10 = 10 x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}

Solution

x = {-3.16227766, 3.16227766}

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