(k+8)(7k+1)=0

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Solution for (k+8)(7k+1)=0 equation:


Simplifying
(k + 8)(7k + 1) = 0

Reorder the terms:
(8 + k)(7k + 1) = 0

Reorder the terms:
(8 + k)(1 + 7k) = 0

Multiply (8 + k) * (1 + 7k)
(8(1 + 7k) + k(1 + 7k)) = 0
((1 * 8 + 7k * 8) + k(1 + 7k)) = 0
((8 + 56k) + k(1 + 7k)) = 0
(8 + 56k + (1 * k + 7k * k)) = 0
(8 + 56k + (1k + 7k2)) = 0

Combine like terms: 56k + 1k = 57k
(8 + 57k + 7k2) = 0

Solving
8 + 57k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(8 + k)(1 + 7k) = 0

Subproblem 1

Set the factor '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Simplifying k = -8

Subproblem 2

Set the factor '(1 + 7k)' equal to zero and attempt to solve: Simplifying 1 + 7k = 0 Solving 1 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = 0 + -1 7k = 0 + -1 Combine like terms: 0 + -1 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429

Solution

k = {-8, -0.1428571429}

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