Answer:
a: 3/2, -2 b: 1/5, -1/2 c: 3/2, -4
Explanation:
a: 2x^2+x=6
Subtract 6 from both sides.
2x^2+x−6=6−6
2x^2+x−6=0
Factor left side of equation.
(2x−3)(x+2)=0
Set factors equal to 0.
2x−3=0 or x+2=0
b: 10a^2+3a=1
Subtract 1 from both sides.
10a^2+3a−1=1−1
10a^2+3a−1=0
Factor left side of equation.
(5a−1)(2a+1)=0
Set factors equal to 0.
5a−1=0 or 2a+1=0
c: 2c^2+5c=12
Subtract 12 from both sides.
2c^2+5c−12=12−12
2c^2+5c−12=0
Factor left side of equation.
(2c−3)(c+4)=0
Set factors equal to 0.
2c−3=0 or c+4=0