(-5k+2)(-6k-7)=

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Solution for (-5k+2)(-6k-7)= equation: 


Simplifying
(-5k + 2)(-6k + -7) = 0

Reorder the terms:
(2 + -5k)(-6k + -7) = 0

Reorder the terms:
(2 + -5k)(-7 + -6k) = 0

Multiply (2 + -5k) * (-7 + -6k)
(2(-7 + -6k) + -5k * (-7 + -6k)) = 0
((-7 * 2 + -6k * 2) + -5k * (-7 + -6k)) = 0
((-14 + -12k) + -5k * (-7 + -6k)) = 0
(-14 + -12k + (-7 * -5k + -6k * -5k)) = 0
(-14 + -12k + (35k + 30k2)) = 0

Combine like terms: -12k + 35k = 23k
(-14 + 23k + 30k2) = 0

Solving
-14 + 23k + 30k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -6k)(2 + -5k) = 0


Subproblem 1
Set the factor '(-7 + -6k)' equal to zero and attempt to solve:

Simplifying
-7 + -6k = 0

Solving
-7 + -6k = 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 + -6k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6k = 0 + 7
-6k = 0 + 7

Combine like terms: 0 + 7 = 7
-6k = 7

Divide each side by '-6'.
k = -1.166666667

Simplifying
k = -1.166666667

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

Simplifying
2 + -5k = 0

Solving
2 + -5k = 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 + -5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k = 0 + -2
-5k = 0 + -2

Combine like terms: 0 + -2 = -2
-5k = -2

Divide each side by '-5'.
k = 0.4

Simplifying
k = 0.4
Solution
k = {-1.166666667, 0.4}

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