(3k-2)(2k+1)=k(6k+5)-3

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Solution for (3k-2)(2k+1)=k(6k+5)-3 equation: 


Simplifying
(3k + -2)(2k + 1) = k(6k + 5) + -3

Reorder the terms:
(-2 + 3k)(2k + 1) = k(6k + 5) + -3

Reorder the terms:
(-2 + 3k)(1 + 2k) = k(6k + 5) + -3

Multiply (-2 + 3k) * (1 + 2k)
(-2(1 + 2k) + 3k * (1 + 2k)) = k(6k + 5) + -3
((1 * -2 + 2k * -2) + 3k * (1 + 2k)) = k(6k + 5) + -3
((-2 + -4k) + 3k * (1 + 2k)) = k(6k + 5) + -3
(-2 + -4k + (1 * 3k + 2k * 3k)) = k(6k + 5) + -3
(-2 + -4k + (3k + 6k2)) = k(6k + 5) + -3

Combine like terms: -4k + 3k = -1k
(-2 + -1k + 6k2) = k(6k + 5) + -3

Reorder the terms:
-2 + -1k + 6k2 = k(5 + 6k) + -3
-2 + -1k + 6k2 = (5 * k + 6k * k) + -3
-2 + -1k + 6k2 = (5k + 6k2) + -3

Reorder the terms:
-2 + -1k + 6k2 = -3 + 5k + 6k2

Add '-6k2' to each side of the equation.
-2 + -1k + 6k2 + -6k2 = -3 + 5k + 6k2 + -6k2

Combine like terms: 6k2 + -6k2 = 0
-2 + -1k + 0 = -3 + 5k + 6k2 + -6k2
-2 + -1k = -3 + 5k + 6k2 + -6k2

Combine like terms: 6k2 + -6k2 = 0
-2 + -1k = -3 + 5k + 0
-2 + -1k = -3 + 5k

Solving
-2 + -1k = -3 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-2 + -1k + -5k = -3 + 5k + -5k

Combine like terms: -1k + -5k = -6k
-2 + -6k = -3 + 5k + -5k

Combine like terms: 5k + -5k = 0
-2 + -6k = -3 + 0
-2 + -6k = -3

Add '2' to each side of the equation.
-2 + 2 + -6k = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -6k = -3 + 2
-6k = -3 + 2

Combine like terms: -3 + 2 = -1
-6k = -1

Divide each side by '-6'.
k = 0.1666666667

Simplifying
k = 0.1666666667

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