(7b+5)(2b-6)=0

Solution for (7b+5)(2b-6)=0 equation:

Simplifying
(7b + 5)(2b + -6) = 0

Reorder the terms:
(5 + 7b)(2b + -6) = 0

Reorder the terms:
(5 + 7b)(-6 + 2b) = 0

Multiply (5 + 7b) * (-6 + 2b)
(5(-6 + 2b) + 7b * (-6 + 2b)) = 0
((-6 * 5 + 2b * 5) + 7b * (-6 + 2b)) = 0
((-30 + 10b) + 7b * (-6 + 2b)) = 0
(-30 + 10b + (-6 * 7b + 2b * 7b)) = 0
(-30 + 10b + (-42b + 14b2)) = 0

Combine like terms: 10b + -42b = -32b
(-30 + -32b + 14b2) = 0

Solving
-30 + -32b + 14b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -16b + 7b2) = 0

Factor a trinomial.
2((-5 + -7b)(3 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -7b)' equal to zero and attempt to solve:

Simplifying
-5 + -7b = 0

Solving
-5 + -7b = 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 + -7b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7b = 0 + 5
-7b = 0 + 5

Combine like terms: 0 + 5 = 5
-7b = 5

Divide each side by '-7'.
b = -0.7142857143

Simplifying
b = -0.7142857143
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 = {-0.7142857143, 3}