2k^2-3+12k=k+60

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Solution for 2k^2-3+12k=k+60 equation: 


Simplifying
2k2 + -3 + 12k = k + 60

Reorder the terms:
-3 + 12k + 2k2 = k + 60

Reorder the terms:
-3 + 12k + 2k2 = 60 + k

Solving
-3 + 12k + 2k2 = 60 + k

Solving for variable 'k'.

Reorder the terms:
-3 + -60 + 12k + -1k + 2k2 = 60 + k + -60 + -1k

Combine like terms: -3 + -60 = -63
-63 + 12k + -1k + 2k2 = 60 + k + -60 + -1k

Combine like terms: 12k + -1k = 11k
-63 + 11k + 2k2 = 60 + k + -60 + -1k

Reorder the terms:
-63 + 11k + 2k2 = 60 + -60 + k + -1k

Combine like terms: 60 + -60 = 0
-63 + 11k + 2k2 = 0 + k + -1k
-63 + 11k + 2k2 = k + -1k

Combine like terms: k + -1k = 0
-63 + 11k + 2k2 = 0

Factor a trinomial.
(-9 + -1k)(7 + -2k) = 0


Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve:

Simplifying
-9 + -1k = 0

Solving
-9 + -1k = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1k = 0 + 9
-1k = 0 + 9

Combine like terms: 0 + 9 = 9
-1k = 9

Divide each side by '-1'.
k = -9

Simplifying
k = -9

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

Simplifying
7 + -2k = 0

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

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

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

Divide each side by '-2'.
k = 3.5

Simplifying
k = 3.5
Solution
k = {-9, 3.5}

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