3b*(2b+5)*(b-3)*(b+3)=0

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Solution for 3b*(2b+5)*(b-3)*(b+3)=0 equation:


Simplifying
3b(2b + 5)(b + -3)(b + 3) = 0

Reorder the terms:
3b(5 + 2b)(b + -3)(b + 3) = 0

Reorder the terms:
3b(5 + 2b)(-3 + b)(b + 3) = 0

Reorder the terms:
3b(5 + 2b)(-3 + b)(3 + b) = 0

Multiply (5 + 2b) * (-3 + b)
3b(5(-3 + b) + 2b * (-3 + b))(3 + b) = 0
3b((-3 * 5 + b * 5) + 2b * (-3 + b))(3 + b) = 0
3b((-15 + 5b) + 2b * (-3 + b))(3 + b) = 0
3b(-15 + 5b + (-3 * 2b + b * 2b))(3 + b) = 0
3b(-15 + 5b + (-6b + 2b2))(3 + b) = 0

Combine like terms: 5b + -6b = -1b
3b(-15 + -1b + 2b2)(3 + b) = 0

Multiply (-15 + -1b + 2b2) * (3 + b)
3b(-15(3 + b) + -1b * (3 + b) + 2b2 * (3 + b)) = 0
3b((3 * -15 + b * -15) + -1b * (3 + b) + 2b2 * (3 + b)) = 0
3b((-45 + -15b) + -1b * (3 + b) + 2b2 * (3 + b)) = 0
3b(-45 + -15b + (3 * -1b + b * -1b) + 2b2 * (3 + b)) = 0
3b(-45 + -15b + (-3b + -1b2) + 2b2 * (3 + b)) = 0
3b(-45 + -15b + -3b + -1b2 + (3 * 2b2 + b * 2b2)) = 0
3b(-45 + -15b + -3b + -1b2 + (6b2 + 2b3)) = 0

Combine like terms: -15b + -3b = -18b
3b(-45 + -18b + -1b2 + 6b2 + 2b3) = 0

Combine like terms: -1b2 + 6b2 = 5b2
3b(-45 + -18b + 5b2 + 2b3) = 0
(-45 * 3b + -18b * 3b + 5b2 * 3b + 2b3 * 3b) = 0
(-135b + -54b2 + 15b3 + 6b4) = 0

Solving
-135b + -54b2 + 15b3 + 6b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-45 + -18b + 5b2 + 2b3) = 0

Ignore the factor 3.

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 '(-45 + -18b + 5b2 + 2b3)' equal to zero and attempt to solve: Simplifying -45 + -18b + 5b2 + 2b3 = 0 Solving -45 + -18b + 5b2 + 2b3 = 0 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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