4k^2+5k+7=6

Solution for 4k^2+5k+7=6 equation:

Simplifying
4k2 + 5k + 7 = 6

Reorder the terms:
7 + 5k + 4k2 = 6

Solving
7 + 5k + 4k2 = 6

Solving for variable 'k'.

Reorder the terms:
7 + -6 + 5k + 4k2 = 6 + -6

Combine like terms: 7 + -6 = 1
1 + 5k + 4k2 = 6 + -6

Combine like terms: 6 + -6 = 0
1 + 5k + 4k2 = 0

Factor a trinomial.
(1 + k)(1 + 4k) = 0

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

Simplifying
1 + k = 0

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

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

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

Simplifying
k = -1
Subproblem 2
Set the factor '(1 + 4k)' equal to zero and attempt to solve:

Simplifying
1 + 4k = 0

Solving
1 + 4k = 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 + 4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4k = 0 + -1
4k = 0 + -1

Combine like terms: 0 + -1 = -1
4k = -1

Divide each side by '4'.
k = -0.25

Simplifying
k = -0.25
Solution
k = {-1, -0.25}