(9b+3)(8b+7)=

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Solution for (9b+3)(8b+7)= equation:


Simplifying
(9b + 3)(8b + 7) = 0

Reorder the terms:
(3 + 9b)(8b + 7) = 0

Reorder the terms:
(3 + 9b)(7 + 8b) = 0

Multiply (3 + 9b) * (7 + 8b)
(3(7 + 8b) + 9b * (7 + 8b)) = 0
((7 * 3 + 8b * 3) + 9b * (7 + 8b)) = 0
((21 + 24b) + 9b * (7 + 8b)) = 0
(21 + 24b + (7 * 9b + 8b * 9b)) = 0
(21 + 24b + (63b + 72b2)) = 0

Combine like terms: 24b + 63b = 87b
(21 + 87b + 72b2) = 0

Solving
21 + 87b + 72b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + 29b + 24b2) = 0

Factor a trinomial.
3((7 + 8b)(1 + 3b)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(7 + 8b)' equal to zero and attempt to solve: Simplifying 7 + 8b = 0 Solving 7 + 8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8b = 0 + -7 8b = 0 + -7 Combine like terms: 0 + -7 = -7 8b = -7 Divide each side by '8'. b = -0.875 Simplifying b = -0.875

Subproblem 2

Set the factor '(1 + 3b)' equal to zero and attempt to solve: Simplifying 1 + 3b = 0 Solving 1 + 3b = 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 + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 0 + -1 3b = 0 + -1 Combine like terms: 0 + -1 = -1 3b = -1 Divide each side by '3'. b = -0.3333333333 Simplifying b = -0.3333333333

Solution

b = {-0.875, -0.3333333333}

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