25b^2-5b^4=

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Solution for 25b^2-5b^4= equation:


Simplifying
25b2 + -5b4 = 0

Solving
25b2 + -5b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b2'.
5b2(5 + -1b2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}

Subproblem 2

Set the factor '(5 + -1b2)' equal to zero and attempt to solve: Simplifying 5 + -1b2 = 0 Solving 5 + -1b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b2 = 0 + -5 -1b2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1b2 = -5 Divide each side by '-1'. b2 = 5 Simplifying b2 = 5 Take the square root of each side: b = {-2.236067978, 2.236067978}

Solution

b = {0, -2.236067978, 2.236067978}

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