3(-5k+8)5(9-6k)=

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Solution for 3(-5k+8)5(9-6k)= equation: 


Simplifying
3(-5k + 8) * 5(9 + -6k) = 0

Reorder the terms:
3(8 + -5k) * 5(9 + -6k) = 0

Reorder the terms for easier multiplication:
3 * 5(8 + -5k)(9 + -6k) = 0

Multiply 3 * 5
15(8 + -5k)(9 + -6k) = 0

Multiply (8 + -5k) * (9 + -6k)
15(8(9 + -6k) + -5k * (9 + -6k)) = 0
15((9 * 8 + -6k * 8) + -5k * (9 + -6k)) = 0
15((72 + -48k) + -5k * (9 + -6k)) = 0
15(72 + -48k + (9 * -5k + -6k * -5k)) = 0
15(72 + -48k + (-45k + 30k2)) = 0

Combine like terms: -48k + -45k = -93k
15(72 + -93k + 30k2) = 0
(72 * 15 + -93k * 15 + 30k2 * 15) = 0
(1080 + -1395k + 450k2) = 0

Solving
1080 + -1395k + 450k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '45'.
45(24 + -31k + 10k2) = 0

Factor a trinomial.
45((3 + -2k)(8 + -5k)) = 0

Ignore the factor 45.

Subproblem 1
Set the factor '(3 + -2k)' equal to zero and attempt to solve:

Simplifying
3 + -2k = 0

Solving
3 + -2k = 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 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5

Subproblem 2
Set the factor '(8 + -5k)' equal to zero and attempt to solve:

Simplifying
8 + -5k = 0

Solving
8 + -5k = 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 + -5k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5k = 0 + -8
-5k = 0 + -8

Combine like terms: 0 + -8 = -8
-5k = -8

Divide each side by '-5'.
k = 1.6

Simplifying
k = 1.6
Solution
k = {1.5, 1.6}

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