4w^4-100w^2=

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Solution for 4w^4-100w^2= equation:


Simplifying
4w4 + -100w2 = 0

Reorder the terms:
-100w2 + 4w4 = 0

Solving
-100w2 + 4w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w2'.
4w2(-25 + w2) = 0

Factor a difference between two squares.
4w2((5 + w)(-5 + w)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'w2' equal to zero and attempt to solve: Simplifying w2 = 0 Solving w2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2 = 0 Take the square root of each side: w = {0}

Subproblem 2

Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5

Subproblem 3

Set the factor '(-5 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Simplifying w = 5

Solution

w = {0, -5, 5}

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