(14b+9)(5b-2)=0

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Solution for (14b+9)(5b-2)=0 equation: 


Simplifying
(14b + 9)(5b + -2) = 0

Reorder the terms:
(9 + 14b)(5b + -2) = 0

Reorder the terms:
(9 + 14b)(-2 + 5b) = 0

Multiply (9 + 14b) * (-2 + 5b)
(9(-2 + 5b) + 14b * (-2 + 5b)) = 0
((-2 * 9 + 5b * 9) + 14b * (-2 + 5b)) = 0
((-18 + 45b) + 14b * (-2 + 5b)) = 0
(-18 + 45b + (-2 * 14b + 5b * 14b)) = 0
(-18 + 45b + (-28b + 70b2)) = 0

Combine like terms: 45b + -28b = 17b
(-18 + 17b + 70b2) = 0

Solving
-18 + 17b + 70b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-9 + -14b)(2 + -5b) = 0


Subproblem 1
Set the factor '(-9 + -14b)' equal to zero and attempt to solve:

Simplifying
-9 + -14b = 0

Solving
-9 + -14b = 0

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

Add '9' to each side of the equation.
-9 + 9 + -14b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -14b = 0 + 9
-14b = 0 + 9

Combine like terms: 0 + 9 = 9
-14b = 9

Divide each side by '-14'.
b = -0.6428571429

Simplifying
b = -0.6428571429

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

Simplifying
2 + -5b = 0

Solving
2 + -5b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5b = 0 + -2

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

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

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
Solution
b = {-0.6428571429, 0.4}

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