(k+4)(k-3)=60

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Solution for (k+4)(k-3)=60 equation: 


Simplifying
(k + 4)(k + -3) = 60

Reorder the terms:
(4 + k)(k + -3) = 60

Reorder the terms:
(4 + k)(-3 + k) = 60

Multiply (4 + k) * (-3 + k)
(4(-3 + k) + k(-3 + k)) = 60
((-3 * 4 + k * 4) + k(-3 + k)) = 60
((-12 + 4k) + k(-3 + k)) = 60
(-12 + 4k + (-3 * k + k * k)) = 60
(-12 + 4k + (-3k + k2)) = 60

Combine like terms: 4k + -3k = 1k
(-12 + 1k + k2) = 60

Solving
-12 + 1k + k2 = 60

Solving for variable 'k'.

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

Combine like terms: -12 + -60 = -72
-72 + 1k + k2 = 60 + -60

Combine like terms: 60 + -60 = 0
-72 + 1k + k2 = 0

Factor a trinomial.
(-9 + -1k)(8 + -1k) = 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 '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {-9, 8}

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