(3b+8)(5b+8)=

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Solution for (3b+8)(5b+8)= equation:


Simplifying
(3b + 8)(5b + 8) = 0

Reorder the terms:
(8 + 3b)(5b + 8) = 0

Reorder the terms:
(8 + 3b)(8 + 5b) = 0

Multiply (8 + 3b) * (8 + 5b)
(8(8 + 5b) + 3b * (8 + 5b)) = 0
((8 * 8 + 5b * 8) + 3b * (8 + 5b)) = 0
((64 + 40b) + 3b * (8 + 5b)) = 0
(64 + 40b + (8 * 3b + 5b * 3b)) = 0
(64 + 40b + (24b + 15b2)) = 0

Combine like terms: 40b + 24b = 64b
(64 + 64b + 15b2) = 0

Solving
64 + 64b + 15b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + 3b)(8 + 5b) = 0

Subproblem 1

Set the factor '(8 + 3b)' equal to zero and attempt to solve: Simplifying 8 + 3b = 0 Solving 8 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 0 + -8 3b = 0 + -8 Combine like terms: 0 + -8 = -8 3b = -8 Divide each side by '3'. b = -2.666666667 Simplifying b = -2.666666667

Subproblem 2

Set the factor '(8 + 5b)' equal to zero and attempt to solve: Simplifying 8 + 5b = 0 Solving 8 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5b = 0 + -8 5b = 0 + -8 Combine like terms: 0 + -8 = -8 5b = -8 Divide each side by '5'. b = -1.6 Simplifying b = -1.6

Solution

b = {-2.666666667, -1.6}

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