(2k-3)(7k+2)=

Solution for (2k-3)(7k+2)= equation:

Simplifying
(2k + -3)(7k + 2) = 0

Reorder the terms:
(-3 + 2k)(7k + 2) = 0

Reorder the terms:
(-3 + 2k)(2 + 7k) = 0

Multiply (-3 + 2k) * (2 + 7k)
(-3(2 + 7k) + 2k * (2 + 7k)) = 0
((2 * -3 + 7k * -3) + 2k * (2 + 7k)) = 0
((-6 + -21k) + 2k * (2 + 7k)) = 0
(-6 + -21k + (2 * 2k + 7k * 2k)) = 0
(-6 + -21k + (4k + 14k2)) = 0

Combine like terms: -21k + 4k = -17k
(-6 + -17k + 14k2) = 0

Solving
-6 + -17k + 14k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-2 + -7k)(3 + -2k) = 0

Subproblem 1
Set the factor '(-2 + -7k)' equal to zero and attempt to solve:

Simplifying
-2 + -7k = 0

Solving
-2 + -7k = 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 + -7k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7k = 0 + 2
-7k = 0 + 2

Combine like terms: 0 + 2 = 2
-7k = 2

Divide each side by '-7'.
k = -0.2857142857

Simplifying
k = -0.2857142857
Subproblem 2
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
Solution
k = {-0.2857142857, 1.5}