-b(8b^3+5)+(-2b)(-6b^3-3)=0

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Solution for -b(8b^3+5)+(-2b)(-6b^3-3)=0 equation:


Simplifying
-1b(8b3 + 5) + (-2b)(-6b3 + -3) = 0

Reorder the terms:
-1b(5 + 8b3) + (-2b)(-6b3 + -3) = 0
(5 * -1b + 8b3 * -1b) + (-2b)(-6b3 + -3) = 0
(-5b + -8b4) + (-2b)(-6b3 + -3) = 0

Remove parenthesis around (-2b)
-5b + -8b4 + -2b(-6b3 + -3) = 0

Reorder the terms:
-5b + -8b4 + -2b(-3 + -6b3) = 0
-5b + -8b4 + (-3 * -2b + -6b3 * -2b) = 0
-5b + -8b4 + (6b + 12b4) = 0

Reorder the terms:
-5b + 6b + -8b4 + 12b4 = 0

Combine like terms: -5b + 6b = 1b
1b + -8b4 + 12b4 = 0

Combine like terms: -8b4 + 12b4 = 4b4
1b + 4b4 = 0

Solving
1b + 4b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + 4b3) = 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 '(1 + 4b3)' equal to zero and attempt to solve: Simplifying 1 + 4b3 = 0 Solving 1 + 4b3 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4b3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4b3 = 0 + -1 4b3 = 0 + -1 Combine like terms: 0 + -1 = -1 4b3 = -1 Divide each side by '4'. b3 = -0.25 Simplifying b3 = -0.25 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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