Answer:
X=(2.5, 6)
Step-by-step explanation:
Simplifying
2x2 + -17x = -30
, Reorder the terms: -17x + 2x2 = -30
Solving
-17x + 2x2 = -30
Solving for variable 'x'.
Reorder the terms:
30 + -17x + 2x2 = -30 + 30
Combine like terms: -30 + 30 = 0
30 + -17x + 2x2 = 0
Factor a trinomial.
(5 + -2x)(6 + -1x) = 0
Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:
Simplifying
5 + -2x = 0
Solving
5 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5
Combine like terms: 0 + -5 = -5
-2x = -5
Divide each side by '-2'.
x = 2.5
Simplifying
x = 2.5
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:
Simplifying
6 + -1x = 0
Solving
6 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6
Combine like terms: 0 + -6 = -6
-1x = -6
Divide each side by '-1'.
x = 6
Simplifying
x = 6
Solution
x = {2.5, 6}
