9(7k+8)3(k-10)=

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Solution for 9(7k+8)3(k-10)= equation: 


Simplifying
9(7k + 8) * 3(k + -10) = 0

Reorder the terms:
9(8 + 7k) * 3(k + -10) = 0

Reorder the terms:
9(8 + 7k) * 3(-10 + k) = 0

Reorder the terms for easier multiplication:
9 * 3(8 + 7k)(-10 + k) = 0

Multiply 9 * 3
27(8 + 7k)(-10 + k) = 0

Multiply (8 + 7k) * (-10 + k)
27(8(-10 + k) + 7k * (-10 + k)) = 0
27((-10 * 8 + k * 8) + 7k * (-10 + k)) = 0
27((-80 + 8k) + 7k * (-10 + k)) = 0
27(-80 + 8k + (-10 * 7k + k * 7k)) = 0
27(-80 + 8k + (-70k + 7k2)) = 0

Combine like terms: 8k + -70k = -62k
27(-80 + -62k + 7k2) = 0
(-80 * 27 + -62k * 27 + 7k2 * 27) = 0
(-2160 + -1674k + 189k2) = 0

Solving
-2160 + -1674k + 189k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '27'.
27(-80 + -62k + 7k2) = 0

Factor a trinomial.
27((-8 + -7k)(10 + -1k)) = 0

Ignore the factor 27.

Subproblem 1
Set the factor '(-8 + -7k)' equal to zero and attempt to solve:

Simplifying
-8 + -7k = 0

Solving
-8 + -7k = 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 + -7k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7k = 0 + 8
-7k = 0 + 8

Combine like terms: 0 + 8 = 8
-7k = 8

Divide each side by '-7'.
k = -1.142857143

Simplifying
k = -1.142857143

Subproblem 2
Set the factor '(10 + -1k)' equal to zero and attempt to solve:

Simplifying
10 + -1k = 0

Solving
10 + -1k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10
Solution
k = {-1.142857143, 10}

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