(9b+7)(2b-3)=0

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Solution for (9b+7)(2b-3)=0 equation: 


Simplifying
(9b + 7)(2b + -3) = 0

Reorder the terms:
(7 + 9b)(2b + -3) = 0

Reorder the terms:
(7 + 9b)(-3 + 2b) = 0

Multiply (7 + 9b) * (-3 + 2b)
(7(-3 + 2b) + 9b * (-3 + 2b)) = 0
((-3 * 7 + 2b * 7) + 9b * (-3 + 2b)) = 0
((-21 + 14b) + 9b * (-3 + 2b)) = 0
(-21 + 14b + (-3 * 9b + 2b * 9b)) = 0
(-21 + 14b + (-27b + 18b2)) = 0

Combine like terms: 14b + -27b = -13b
(-21 + -13b + 18b2) = 0

Solving
-21 + -13b + 18b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -9b)(3 + -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 '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {-0.7777777778, 1.5}

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