3b(3b)-6b-24=0

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Solution for 3b(3b)-6b-24=0 equation:


Simplifying
3b(3b) + -6b + -24 = 0

Remove parenthesis around (3b)
3b * 3b + -6b + -24 = 0

Reorder the terms for easier multiplication:
3 * 3b * b + -6b + -24 = 0

Multiply 3 * 3
9b * b + -6b + -24 = 0

Multiply b * b
9b2 + -6b + -24 = 0

Reorder the terms:
-24 + -6b + 9b2 = 0

Solving
-24 + -6b + 9b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -2b + 3b2) = 0

Factor a trinomial.
3((-4 + -3b)(2 + -1b)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -3b)' equal to zero and attempt to solve: Simplifying -4 + -3b = 0 Solving -4 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = 0 + 4 -3b = 0 + 4 Combine like terms: 0 + 4 = 4 -3b = 4 Divide each side by '-3'. b = -1.333333333 Simplifying b = -1.333333333

Subproblem 2

Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 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 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2

Solution

b = {-1.333333333, 2}

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