(4k+5)(6k+1)=

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Solution for (4k+5)(6k+1)= equation: 


Simplifying
(4k + 5)(6k + 1) = 0

Reorder the terms:
(5 + 4k)(6k + 1) = 0

Reorder the terms:
(5 + 4k)(1 + 6k) = 0

Multiply (5 + 4k) * (1 + 6k)
(5(1 + 6k) + 4k * (1 + 6k)) = 0
((1 * 5 + 6k * 5) + 4k * (1 + 6k)) = 0
((5 + 30k) + 4k * (1 + 6k)) = 0
(5 + 30k + (1 * 4k + 6k * 4k)) = 0
(5 + 30k + (4k + 24k2)) = 0

Combine like terms: 30k + 4k = 34k
(5 + 34k + 24k2) = 0

Solving
5 + 34k + 24k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(5 + 4k)(1 + 6k) = 0


Subproblem 1
Set the factor '(5 + 4k)' equal to zero and attempt to solve:

Simplifying
5 + 4k = 0

Solving
5 + 4k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4k = 0 + -5
4k = 0 + -5

Combine like terms: 0 + -5 = -5
4k = -5

Divide each side by '4'.
k = -1.25

Simplifying
k = -1.25

Subproblem 2
Set the factor '(1 + 6k)' equal to zero and attempt to solve:

Simplifying
1 + 6k = 0

Solving
1 + 6k = 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 + 6k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6k = 0 + -1
6k = 0 + -1

Combine like terms: 0 + -1 = -1
6k = -1

Divide each side by '6'.
k = -0.1666666667

Simplifying
k = -0.1666666667
Solution
k = {-1.25, -0.1666666667}

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