(k+4)(k+7)=0

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Solution for (k+4)(k+7)=0 equation: 


Simplifying
(k + 4)(k + 7) = 0

Reorder the terms:
(4 + k)(k + 7) = 0

Reorder the terms:
(4 + k)(7 + k) = 0

Multiply (4 + k) * (7 + k)
(4(7 + k) + k(7 + k)) = 0
((7 * 4 + k * 4) + k(7 + k)) = 0
((28 + 4k) + k(7 + k)) = 0
(28 + 4k + (7 * k + k * k)) = 0
(28 + 4k + (7k + k2)) = 0

Combine like terms: 4k + 7k = 11k
(28 + 11k + k2) = 0

Solving
28 + 11k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(7 + k)(4 + k) = 0


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

Simplifying
7 + k = 0

Solving
7 + k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + k = 0 + -7
k = 0 + -7

Combine like terms: 0 + -7 = -7
k = -7

Simplifying
k = -7

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

Simplifying
4 + k = 0

Solving
4 + k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + k = 0 + -4
k = 0 + -4

Combine like terms: 0 + -4 = -4
k = -4

Simplifying
k = -4
Solution
k = {-7, -4}

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