(8k-9)(3k-7)=

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Solution for (8k-9)(3k-7)= equation: 


Simplifying
(8k + -9)(3k + -7) = 0

Reorder the terms:
(-9 + 8k)(3k + -7) = 0

Reorder the terms:
(-9 + 8k)(-7 + 3k) = 0

Multiply (-9 + 8k) * (-7 + 3k)
(-9(-7 + 3k) + 8k * (-7 + 3k)) = 0
((-7 * -9 + 3k * -9) + 8k * (-7 + 3k)) = 0
((63 + -27k) + 8k * (-7 + 3k)) = 0
(63 + -27k + (-7 * 8k + 3k * 8k)) = 0
(63 + -27k + (-56k + 24k2)) = 0

Combine like terms: -27k + -56k = -83k
(63 + -83k + 24k2) = 0

Solving
63 + -83k + 24k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(9 + -8k)(7 + -3k) = 0


Subproblem 1
Set the factor '(9 + -8k)' equal to zero and attempt to solve:

Simplifying
9 + -8k = 0

Solving
9 + -8k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8k = 0 + -9

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

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

Divide each side by '-8'.
k = 1.125

Simplifying
k = 1.125

Subproblem 2
Set the factor '(7 + -3k)' equal to zero and attempt to solve:

Simplifying
7 + -3k = 0

Solving
7 + -3k = 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 + -3k = 0 + -7

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

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

Divide each side by '-3'.
k = 2.333333333

Simplifying
k = 2.333333333
Solution
k = {1.125, 2.333333333}

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