(15b-43)(83b+34)=0

Solution for (15b-43)(83b+34)=0 equation:

Simplifying
(15b + -43)(83b + 34) = 0

Reorder the terms:
(-43 + 15b)(83b + 34) = 0

Reorder the terms:
(-43 + 15b)(34 + 83b) = 0

Multiply (-43 + 15b) * (34 + 83b)
(-43(34 + 83b) + 15b * (34 + 83b)) = 0
((34 * -43 + 83b * -43) + 15b * (34 + 83b)) = 0
((-1462 + -3569b) + 15b * (34 + 83b)) = 0
(-1462 + -3569b + (34 * 15b + 83b * 15b)) = 0
(-1462 + -3569b + (510b + 1245b2)) = 0

Combine like terms: -3569b + 510b = -3059b
(-1462 + -3059b + 1245b2) = 0

Solving
-1462 + -3059b + 1245b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-34 + -83b)(43 + -15b) = 0

Subproblem 1
Set the factor '(-34 + -83b)' equal to zero and attempt to solve:

Simplifying
-34 + -83b = 0

Solving
-34 + -83b = 0

Move all terms containing b to the left, all other terms to the right.

Add '34' to each side of the equation.
-34 + 34 + -83b = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -83b = 0 + 34
-83b = 0 + 34

Combine like terms: 0 + 34 = 34
-83b = 34

Divide each side by '-83'.
b = -0.4096385542

Simplifying
b = -0.4096385542
Subproblem 2
Set the factor '(43 + -15b)' equal to zero and attempt to solve:

Simplifying
43 + -15b = 0

Solving
43 + -15b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-43' to each side of the equation.
43 + -43 + -15b = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -15b = 0 + -43
-15b = 0 + -43

Combine like terms: 0 + -43 = -43
-15b = -43

Divide each side by '-15'.
b = 2.866666667

Simplifying
b = 2.866666667
Solution
b = {-0.4096385542, 2.866666667}