(q+6)(q+5)=

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Solution for (q+6)(q+5)= equation:


Simplifying
(q + 6)(q + 5) = 0

Reorder the terms:
(6 + q)(q + 5) = 0

Reorder the terms:
(6 + q)(5 + q) = 0

Multiply (6 + q) * (5 + q)
(6(5 + q) + q(5 + q)) = 0
((5 * 6 + q * 6) + q(5 + q)) = 0
((30 + 6q) + q(5 + q)) = 0
(30 + 6q + (5 * q + q * q)) = 0
(30 + 6q + (5q + q2)) = 0

Combine like terms: 6q + 5q = 11q
(30 + 11q + q2) = 0

Solving
30 + 11q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(6 + q)(5 + q) = 0

Subproblem 1

Set the factor '(6 + q)' equal to zero and attempt to solve: Simplifying 6 + q = 0 Solving 6 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + q = 0 + -6 q = 0 + -6 Combine like terms: 0 + -6 = -6 q = -6 Simplifying q = -6

Subproblem 2

Set the factor '(5 + q)' equal to zero and attempt to solve: Simplifying 5 + q = 0 Solving 5 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q = 0 + -5 q = 0 + -5 Combine like terms: 0 + -5 = -5 q = -5 Simplifying q = -5

Solution

q = {-6, -5}

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