(14b+9)(5b-15)=0

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Solution for (14b+9)(5b-15)=0 equation: 


Simplifying
(14b + 9)(5b + -15) = 0

Reorder the terms:
(9 + 14b)(5b + -15) = 0

Reorder the terms:
(9 + 14b)(-15 + 5b) = 0

Multiply (9 + 14b) * (-15 + 5b)
(9(-15 + 5b) + 14b * (-15 + 5b)) = 0
((-15 * 9 + 5b * 9) + 14b * (-15 + 5b)) = 0
((-135 + 45b) + 14b * (-15 + 5b)) = 0
(-135 + 45b + (-15 * 14b + 5b * 14b)) = 0
(-135 + 45b + (-210b + 70b2)) = 0

Combine like terms: 45b + -210b = -165b
(-135 + -165b + 70b2) = 0

Solving
-135 + -165b + 70b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-27 + -33b + 14b2) = 0

Factor a trinomial.
5((-9 + -14b)(3 + -1b)) = 0

Ignore the factor 5.

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 '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-0.6428571429, 3}

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