(4b-5)*(2b+7)=

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Solution for (4b-5)*(2b+7)= equation: 


Simplifying
(4b + -5)(2b + 7) = 0

Reorder the terms:
(-5 + 4b)(2b + 7) = 0

Reorder the terms:
(-5 + 4b)(7 + 2b) = 0

Multiply (-5 + 4b) * (7 + 2b)
(-5(7 + 2b) + 4b * (7 + 2b)) = 0
((7 * -5 + 2b * -5) + 4b * (7 + 2b)) = 0
((-35 + -10b) + 4b * (7 + 2b)) = 0
(-35 + -10b + (7 * 4b + 2b * 4b)) = 0
(-35 + -10b + (28b + 8b2)) = 0

Combine like terms: -10b + 28b = 18b
(-35 + 18b + 8b2) = 0

Solving
-35 + 18b + 8b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -2b)(5 + -4b) = 0


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

Simplifying
-7 + -2b = 0

Solving
-7 + -2b = 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 + -2b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2b = 0 + 7
-2b = 0 + 7

Combine like terms: 0 + 7 = 7
-2b = 7

Divide each side by '-2'.
b = -3.5

Simplifying
b = -3.5

Subproblem 2
Set the factor '(5 + -4b)' equal to zero and attempt to solve:

Simplifying
5 + -4b = 0

Solving
5 + -4b = 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 + -4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4b = 0 + -5
-4b = 0 + -5

Combine like terms: 0 + -5 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25
Solution
b = {-3.5, 1.25}

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