4b-10b^3=0

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Solution for 4b-10b^3=0 equation:


Simplifying
4b + -10b3 = 0

Solving
4b + -10b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(2 + -5b2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(2 + -5b2)' equal to zero and attempt to solve: Simplifying 2 + -5b2 = 0 Solving 2 + -5b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5b2 = 0 + -2 -5b2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5b2 = -2 Divide each side by '-5'. b2 = 0.4 Simplifying b2 = 0.4 Take the square root of each side: b = {-0.632455532, 0.632455532}

Solution

b = {0, -0.632455532, 0.632455532}

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