(4k-7)(4k-6)=

Solution for (4k-7)(4k-6)= equation:

Simplifying
(4k + -7)(4k + -6) = 0

Reorder the terms:
(-7 + 4k)(4k + -6) = 0

Reorder the terms:
(-7 + 4k)(-6 + 4k) = 0

Multiply (-7 + 4k) * (-6 + 4k)
(-7(-6 + 4k) + 4k * (-6 + 4k)) = 0
((-6 * -7 + 4k * -7) + 4k * (-6 + 4k)) = 0
((42 + -28k) + 4k * (-6 + 4k)) = 0
(42 + -28k + (-6 * 4k + 4k * 4k)) = 0
(42 + -28k + (-24k + 16k2)) = 0

Combine like terms: -28k + -24k = -52k
(42 + -52k + 16k2) = 0

Solving
42 + -52k + 16k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -26k + 8k2) = 0

Factor a trinomial.
2((3 + -2k)(7 + -4k)) = 0

Ignore the factor 2.
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 '(7 + -4k)' equal to zero and attempt to solve:

Simplifying
7 + -4k = 0

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

Combine like terms: 7 + -7 = 0
0 + -4k = 0 + -7
-4k = 0 + -7

Combine like terms: 0 + -7 = -7
-4k = -7

Divide each side by '-4'.
k = 1.75

Simplifying
k = 1.75
Solution
k = {1.5, 1.75}