Question

Solve for y. Please show work.
5y^2 - 2 = 3y

Answer 1

y = -2/5 or y = 1

Explanation:

5y²-2 = 3y

Add -3y on both sides

5y²- 3y -2 = 0

Factorize.

(5y + 2)(y-1) = 0

(5y+2) = 0

Subtract 2 on both sides.

5y = -2

Divide 5 into both sides.

y = -2/5

(y - 1) = 0

Add 1 on both sides.

y = 1

Answer 2

y = -2/5 or y = 1

Explanation:

5y^2 - 2 = 3y

5y^2 - 3y - 2 = 0

(5y + 2)(y - 1)

5y + 2 = 0 or y - 1 = 0

5y = -2 or y = 1

y = -2/5 or y = 1