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

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


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

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

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

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

Combine like terms: -10b + 7b = -3b
(-35 + -3b + 2b2) = 0

Solving
-35 + -3b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -2b)(5 + -1b) = 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 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5

Solution

b = {-3.5, 5}

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