x=

2

3

+

2

1

39

x=

2

3

+

2

−1

39

Step-by-step explanation:

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

2x2−6x=15

Step 1: Subtract 15 from both sides.

2x2−6x−15=15−15

2x2−6x−15=0

For this equation: a=2, b=-6, c=-15

2x2+−6x+−15=0

Step 2: Use quadratic formula with a=2, b=-6, c=-15.

x=

−b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(2)(−15)

2(2)

x=

6±√156

4

x=

3

2

+

1

2

√39 or x=

3

2

+

−1

2

√39

Answer:

x=

3

2

+

1

2

√39 or x=

3

2

+

−1

2

√39