(5b-7)(7+3b)=

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Solution for (5b-7)(7+3b)= equation: 


Simplifying
(5b + -7)(7 + 3b) = 0

Reorder the terms:
(-7 + 5b)(7 + 3b) = 0

Multiply (-7 + 5b) * (7 + 3b)
(-7(7 + 3b) + 5b * (7 + 3b)) = 0
((7 * -7 + 3b * -7) + 5b * (7 + 3b)) = 0
((-49 + -21b) + 5b * (7 + 3b)) = 0
(-49 + -21b + (7 * 5b + 3b * 5b)) = 0
(-49 + -21b + (35b + 15b2)) = 0

Combine like terms: -21b + 35b = 14b
(-49 + 14b + 15b2) = 0

Solving
-49 + 14b + 15b2 = 0

Solving for variable 'b'.

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


Subproblem 1
Set the factor '(-7 + -3b)' equal to zero and attempt to solve:

Simplifying
-7 + -3b = 0

Solving
-7 + -3b = 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 + -3b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3b = 0 + 7
-3b = 0 + 7

Combine like terms: 0 + 7 = 7
-3b = 7

Divide each side by '-3'.
b = -2.333333333

Simplifying
b = -2.333333333

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

Simplifying
7 + -5b = 0

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

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

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

Divide each side by '-5'.
b = 1.4

Simplifying
b = 1.4
Solution
b = {-2.333333333, 1.4}

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