b^3-7b+10b=0

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Solution for b^3-7b+10b=0 equation:


Simplifying
b3 + -7b + 10b = 0

Reorder the terms:
-7b + 10b + b3 = 0

Combine like terms: -7b + 10b = 3b
3b + b3 = 0

Solving
3b + b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(3 + b2) = 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 + b2)' equal to zero and attempt to solve: Simplifying 3 + b2 = 0 Solving 3 + b2 = 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 + b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b2 = 0 + -3 b2 = 0 + -3 Combine like terms: 0 + -3 = -3 b2 = -3 Simplifying b2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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