3k^2-8k-7=-4

Solution for 3k^2-8k-7=-4 equation:

Simplifying
3k2 + -8k + -7 = -4

Reorder the terms:
-7 + -8k + 3k2 = -4

Solving
-7 + -8k + 3k2 = -4

Solving for variable 'k'.

Reorder the terms:
-7 + 4 + -8k + 3k2 = -4 + 4

Combine like terms: -7 + 4 = -3
-3 + -8k + 3k2 = -4 + 4

Combine like terms: -4 + 4 = 0
-3 + -8k + 3k2 = 0

Factor a trinomial.
(-1 + -3k)(3 + -1k) = 0

Subproblem 1
Set the factor '(-1 + -3k)' equal to zero and attempt to solve:

Simplifying
-1 + -3k = 0

Solving
-1 + -3k = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3k = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3k = 0 + 1
-3k = 0 + 1

Combine like terms: 0 + 1 = 1
-3k = 1

Divide each side by '-3'.
k = -0.3333333333

Simplifying
k = -0.3333333333
Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 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 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {-0.3333333333, 3}