8b^3-10b^3+3b=0

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Solution for 8b^3-10b^3+3b=0 equation:


Simplifying
8b3 + -10b3 + 3b = 0

Reorder the terms:
3b + 8b3 + -10b3 = 0

Combine like terms: 8b3 + -10b3 = -2b3
3b + -2b3 = 0

Solving
3b + -2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(3 + -2b2) = 0

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 '(3 + -2b2)' equal to zero and attempt to solve: Simplifying 3 + -2b2 = 0 Solving 3 + -2b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2b2 = 0 + -3 -2b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2b2 = -3 Divide each side by '-2'. b2 = 1.5 Simplifying b2 = 1.5 Take the square root of each side: b = {-1.224744871, 1.224744871}

Solution

b = {0, -1.224744871, 1.224744871}

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