(7k+3)(k-8)=0

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Solution for (7k+3)(k-8)=0 equation:


Simplifying
(7k + 3)(k + -8) = 0

Reorder the terms:
(3 + 7k)(k + -8) = 0

Reorder the terms:
(3 + 7k)(-8 + k) = 0

Multiply (3 + 7k) * (-8 + k)
(3(-8 + k) + 7k * (-8 + k)) = 0
((-8 * 3 + k * 3) + 7k * (-8 + k)) = 0
((-24 + 3k) + 7k * (-8 + k)) = 0
(-24 + 3k + (-8 * 7k + k * 7k)) = 0
(-24 + 3k + (-56k + 7k2)) = 0

Combine like terms: 3k + -56k = -53k
(-24 + -53k + 7k2) = 0

Solving
-24 + -53k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -7k)(8 + -1k) = 0


Subproblem 1
Set the factor '(-3 + -7k)' equal to zero and attempt to solve:

Simplifying
-3 + -7k = 0

Solving
-3 + -7k = 0

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

Add '3' to each side of the equation.
-3 + 3 + -7k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7k = 0 + 3
-7k = 0 + 3

Combine like terms: 0 + 3 = 3
-7k = 3

Divide each side by '-7'.
k = -0.4285714286

Simplifying
k = -0.4285714286

Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 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 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {-0.4285714286, 8}

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