Question

40 POINTS!

Solve 2x^2 + x = 15.

x = −5 and x = 5
x = three over two and x = −5
x = 15 and x = −2
x = five over two and x = −3

Answer 1

x = five over two and x =-3

Answer 2

x = five over two and x = −3

Explanation:

Let's solve your equation step-by-step.

2x2+x=15

Step 1: Subtract 15 from both sides.

2x2+x−15=15−15

2x2+x−15=0

Step 2: Factor left side of equation.

(2x−5)(x+3)=0

Step 3: Set factors equal to 0.

2x−5=0 or x+3=0

x=5/2 or x=−3