(-2b-3)(5b+5)=

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Solution for (-2b-3)(5b+5)= equation:


Simplifying
(-2b + -3)(5b + 5) = 0

Reorder the terms:
(-3 + -2b)(5b + 5) = 0

Reorder the terms:
(-3 + -2b)(5 + 5b) = 0

Multiply (-3 + -2b) * (5 + 5b)
(-3(5 + 5b) + -2b * (5 + 5b)) = 0
((5 * -3 + 5b * -3) + -2b * (5 + 5b)) = 0
((-15 + -15b) + -2b * (5 + 5b)) = 0
(-15 + -15b + (5 * -2b + 5b * -2b)) = 0
(-15 + -15b + (-10b + -10b2)) = 0

Combine like terms: -15b + -10b = -25b
(-15 + -25b + -10b2) = 0

Solving
-15 + -25b + -10b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(3 + 5b + 2b2) = 0

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

Ignore the factor -5.

Subproblem 1

Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 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 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5

Subproblem 2

Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1

Solution

b = {-1.5, -1}

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