factorise; 18k^2+33k+9
Answers
Step-by-step explanation:
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Answer:
Simplifying
18k2 + -33k + 14 = 0
Reorder the terms:
14 + -33k + 18k2 = 0
Solving
14 + -33k + 18k2 = 0
Solving for variable 'k'.
Factor a trinomial.
(2 + -3k)(7 + -6k) = 0
Subproblem 1
Set the factor '(2 + -3k)' equal to zero and attempt to solve:
Simplifying
2 + -3k = 0
Solving
2 + -3k = 0
Move all terms containing k to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3k = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3k = 0 + -2
-3k = 0 + -2
Combine like terms: 0 + -2 = -2
-3k = -2
Divide each side by '-3'.
k = 0.6666666667
Simplifying
k = 0.6666666667
Subproblem 2
Set the factor '(7 + -6k)' equal to zero and attempt to solve:
Simplifying
7 + -6k = 0
Solving
7 + -6k = 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 + -6k = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -6k = 0 + -7
-6k = 0 + -7
Combine like terms: 0 + -7 = -7
-6k = -7
Divide each side by '-6'.
k = 1.166666667
Simplifying
k = 1.166666667
Solution
k = {0.6666666667, 1.166666667
Step-by-step explanation:
Thank you Mark as verify