(2k+7)(9k+8)=0

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Solution for (2k+7)(9k+8)=0 equation:


Simplifying
(2k + 7)(9k + 8) = 0

Reorder the terms:
(7 + 2k)(9k + 8) = 0

Reorder the terms:
(7 + 2k)(8 + 9k) = 0

Multiply (7 + 2k) * (8 + 9k)
(7(8 + 9k) + 2k * (8 + 9k)) = 0
((8 * 7 + 9k * 7) + 2k * (8 + 9k)) = 0
((56 + 63k) + 2k * (8 + 9k)) = 0
(56 + 63k + (8 * 2k + 9k * 2k)) = 0
(56 + 63k + (16k + 18k2)) = 0

Combine like terms: 63k + 16k = 79k
(56 + 79k + 18k2) = 0

Solving
56 + 79k + 18k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(7 + 2k)(8 + 9k) = 0


Subproblem 1
Set the factor '(7 + 2k)' equal to zero and attempt to solve:

Simplifying
7 + 2k = 0

Solving
7 + 2k = 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 + 2k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2k = 0 + -7
2k = 0 + -7

Combine like terms: 0 + -7 = -7
2k = -7

Divide each side by '2'.
k = -3.5

Simplifying
k = -3.5

Subproblem 2
Set the factor '(8 + 9k)' equal to zero and attempt to solve:

Simplifying
8 + 9k = 0

Solving
8 + 9k = 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 + 9k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9k = 0 + -8
9k = 0 + -8

Combine like terms: 0 + -8 = -8
9k = -8

Divide each side by '9'.
k = -0.8888888889

Simplifying
k = -0.8888888889
Solution
k = {-3.5, -0.8888888889}

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