Answer:
Add 8 to both sides of the equation.
−6x²−2−3x+8=0 Add −2and 8.
−6x²−3x+6=0
Factor −3 out of −6x²−3x+6.
−3(2x²+x−2)=0
Divide each term by −3 and simplify.
2x²+x−2=0
Use the quadratic formula to find the solutions.
(−b±√b2−4(ac))/2a
Substitute the values a=2 , b=1, and c=−2 into the quadratic formula and solve for x .
(−1±√12−4⋅(2⋅−2))/(2⋅2) Simplify.
x=−1±√174
The final answer is the combination of both solutions.
x=(−1−√17)/4, (−1+√17/)4
The result can be shown in multiple forms.
Exact Form:
x=(−1−√17)/4, (−1+√17)/4
Explanation: