(9b+7)(2b-5)=0

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Solution for (9b+7)(2b-5)=0 equation: 


Simplifying
(9b + 7)(2b + -5) = 0

Reorder the terms:
(7 + 9b)(2b + -5) = 0

Reorder the terms:
(7 + 9b)(-5 + 2b) = 0

Multiply (7 + 9b) * (-5 + 2b)
(7(-5 + 2b) + 9b * (-5 + 2b)) = 0
((-5 * 7 + 2b * 7) + 9b * (-5 + 2b)) = 0
((-35 + 14b) + 9b * (-5 + 2b)) = 0
(-35 + 14b + (-5 * 9b + 2b * 9b)) = 0
(-35 + 14b + (-45b + 18b2)) = 0

Combine like terms: 14b + -45b = -31b
(-35 + -31b + 18b2) = 0

Solving
-35 + -31b + 18b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -9b)(5 + -2b) = 0


Subproblem 1
Set the factor '(-7 + -9b)' equal to zero and attempt to solve:

Simplifying
-7 + -9b = 0

Solving
-7 + -9b = 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 + -9b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9b = 0 + 7
-9b = 0 + 7

Combine like terms: 0 + 7 = 7
-9b = 7

Divide each side by '-9'.
b = -0.7777777778

Simplifying
b = -0.7777777778

Subproblem 2
Set the factor '(5 + -2b)' equal to zero and attempt to solve:

Simplifying
5 + -2b = 0

Solving
5 + -2b = 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 + -2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2b = 0 + -5
-2b = 0 + -5

Combine like terms: 0 + -5 = -5
-2b = -5

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5
Solution
b = {-0.7777777778, 2.5}

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