(3b-7)(5b+8)=

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Solution for (3b-7)(5b+8)= equation:


Simplifying
(3b + -7)(5b + 8) = 0

Reorder the terms:
(-7 + 3b)(5b + 8) = 0

Reorder the terms:
(-7 + 3b)(8 + 5b) = 0

Multiply (-7 + 3b) * (8 + 5b)
(-7(8 + 5b) + 3b * (8 + 5b)) = 0
((8 * -7 + 5b * -7) + 3b * (8 + 5b)) = 0
((-56 + -35b) + 3b * (8 + 5b)) = 0
(-56 + -35b + (8 * 3b + 5b * 3b)) = 0
(-56 + -35b + (24b + 15b2)) = 0

Combine like terms: -35b + 24b = -11b
(-56 + -11b + 15b2) = 0

Solving
-56 + -11b + 15b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-8 + -5b)(7 + -3b) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -3b)' equal to zero and attempt to solve: Simplifying 7 + -3b = 0 Solving 7 + -3b = 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 + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 0 + -7 -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -3b = -7 Divide each side by '-3'. b = 2.333333333 Simplifying b = 2.333333333

Solution

b = {-1.6, 2.333333333}

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