Question

Find the solutions to the quadratic equation (2x+3)(x−2)=0.(1 point)
Responses

x=−23 and x=2
x equals negative Start Fraction 2 over 3 End Fraction and x equals 2

x=−3 and x=2
x equals negative 3 and x equals 2

x=−32 and x=2
x equals negative Start Fraction 3 over 2 End Fraction and x equals 2

x=−2 and x=32
x equals negative 2 and x equals Start Fraction 3 over 2 End Fraction

Answer 1

Set each factor to zero: 2x + 3 = 0 → x = −3/2, and x − 2 = 0 → x = 2.

So x = −3/2 and x = 2.