What i need to know from this equation is the answer and the way you got it

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Step-by-step explanation:

given

2x² - 5x - 3 = 0 ← in standard form

To factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = - 5

The factors are - 6 and + 1

Use these factors to split the x- term

2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)

(x - 3)(2x + 1) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -

no

step-by-step explanation: