b^2+25b+150=

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Solution for b^2+25b+150= equation:


Simplifying
b2 + 25b + 150 = 0

Reorder the terms:
150 + 25b + b2 = 0

Solving
150 + 25b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(15 + b)(10 + b) = 0

Subproblem 1

Set the factor '(15 + b)' equal to zero and attempt to solve: Simplifying 15 + b = 0 Solving 15 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + b = 0 + -15 b = 0 + -15 Combine like terms: 0 + -15 = -15 b = -15 Simplifying b = -15

Subproblem 2

Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10

Solution

b = {-15, -10}

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