factors of 5x^2-45x-110
Answers
Answer:
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '5'.
5(-22 + 9x + x2) = 0
Factor a trinomial.
5((-11 + -1x)(2 + -1x)) = 0
Ignore the factor 5.
Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:
Simplifying
-11 + -1x = 0
Solving
-11 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11
Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11
Combine like terms: 0 + 11 = 11
-1x = 11
Divide each side by '-1'.
x = -11
Simplifying
x = -11
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms: 0 + -2 = -2
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
Solution
x = {-11, 2}