Question

Solve the following equation: 8x^2 = 2x

Answer 1

x = 0, x =
`(1)/(4)`

Explanation:

Given

8x² = 2x ( subtract 2x from both sides )

8x² - 2x = 0 ( factor out 2x from each term )

2x(4x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

4x - 1 = 0 ⇒ 4x = 1 ⇒ x =
`(1)/(4)`