what is the lcm of x^2-27x+180
Answers
Answer:
Little complicated SUM
Step-by-step explanation:
Simplifying
x2 + -27x = -180
Reorder the terms:
-27x + x2 = -180
Solving
-27x + x2 = -180
Solving for variable 'x'.
Reorder the terms:
180 + -27x + x2 = -180 + 180
Combine like terms: -180 + 180 = 0
180 + -27x + x2 = 0
Factor a trinomial.
(12 + -1x)(15 + -1x) = 0
Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:
Simplifying
12 + -1x = 0
Solving
12 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12
Combine like terms: 0 + -12 = -12
-1x = -12
Divide each side by '-1'.
x = 12
Simplifying
x = 12
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:
Simplifying
15 + -1x = 0
Solving
15 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15
Combine like terms: 0 + -15 = -15
-1x = -15
Divide each side by '-1'.
x = 15
Simplifying
x = 15
Solution
x = {12, 15}