(9b+5)(4b-7)=0

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Solution for (9b+5)(4b-7)=0 equation: 


Simplifying
(9b + 5)(4b + -7) = 0

Reorder the terms:
(5 + 9b)(4b + -7) = 0

Reorder the terms:
(5 + 9b)(-7 + 4b) = 0

Multiply (5 + 9b) * (-7 + 4b)
(5(-7 + 4b) + 9b * (-7 + 4b)) = 0
((-7 * 5 + 4b * 5) + 9b * (-7 + 4b)) = 0
((-35 + 20b) + 9b * (-7 + 4b)) = 0
(-35 + 20b + (-7 * 9b + 4b * 9b)) = 0
(-35 + 20b + (-63b + 36b2)) = 0

Combine like terms: 20b + -63b = -43b
(-35 + -43b + 36b2) = 0

Solving
-35 + -43b + 36b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-5 + -9b)(7 + -4b) = 0


Subproblem 1
Set the factor '(-5 + -9b)' equal to zero and attempt to solve:

Simplifying
-5 + -9b = 0

Solving
-5 + -9b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -9b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9b = 0 + 5
-9b = 0 + 5

Combine like terms: 0 + 5 = 5
-9b = 5

Divide each side by '-9'.
b = -0.5555555556

Simplifying
b = -0.5555555556

Subproblem 2
Set the factor '(7 + -4b)' equal to zero and attempt to solve:

Simplifying
7 + -4b = 0

Solving
7 + -4b = 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 + -4b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4b = 0 + -7
-4b = 0 + -7

Combine like terms: 0 + -7 = -7
-4b = -7

Divide each side by '-4'.
b = 1.75

Simplifying
b = 1.75
Solution
b = {-0.5555555556, 1.75}

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