10(k-2)+7k(k-2)=

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Solution for 10(k-2)+7k(k-2)= equation: 


Simplifying
10(k + -2) + 7k(k + -2) = 0

Reorder the terms:
10(-2 + k) + 7k(k + -2) = 0
(-2 * 10 + k * 10) + 7k(k + -2) = 0
(-20 + 10k) + 7k(k + -2) = 0

Reorder the terms:
-20 + 10k + 7k(-2 + k) = 0
-20 + 10k + (-2 * 7k + k * 7k) = 0
-20 + 10k + (-14k + 7k2) = 0

Combine like terms: 10k + -14k = -4k
-20 + -4k + 7k2 = 0

Solving
-20 + -4k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-10 + -7k)(2 + -1k) = 0


Subproblem 1
Set the factor '(-10 + -7k)' equal to zero and attempt to solve:

Simplifying
-10 + -7k = 0

Solving
-10 + -7k = 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 + -7k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7k = 0 + 10
-7k = 0 + 10

Combine like terms: 0 + 10 = 10
-7k = 10

Divide each side by '-7'.
k = -1.428571429

Simplifying
k = -1.428571429

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

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {-1.428571429, 2}

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