3k^2+11k-70=0

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Solution for 3k^2+11k-70=0 equation: 


Simplifying
3k2 + 11k + -70 = 0

Reorder the terms:
-70 + 11k + 3k2 = 0

Solving
-70 + 11k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -1k)(10 + -3k) = 0


Subproblem 1
Set the factor '(-7 + -1k)' equal to zero and attempt to solve:

Simplifying
-7 + -1k = 0

Solving
-7 + -1k = 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 + -1k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1k = 0 + 7
-1k = 0 + 7

Combine like terms: 0 + 7 = 7
-1k = 7

Divide each side by '-1'.
k = -7

Simplifying
k = -7

Subproblem 2
Set the factor '(10 + -3k)' equal to zero and attempt to solve:

Simplifying
10 + -3k = 0

Solving
10 + -3k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = 0 + -10
-3k = 0 + -10

Combine like terms: 0 + -10 = -10
-3k = -10

Divide each side by '-3'.
k = 3.333333333

Simplifying
k = 3.333333333
Solution
k = {-7, 3.333333333}

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