3 years ago

May anyone help me with this please

Mathematics

1 answer:

balu736 [363]3 years ago

5 0

Answer:

x = - 8, x = - 4

Step-by-step explanation:

Given

x² + 15x + 30 = 3x - 2 ( subtract 3x - 2 from both sides )

x² + 12x + 32 = 0 ← in standard form

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (+ 12)

The factors are + 8 and + 4 , since

8 × 4 = + 32 and 8 + 4 = + 12 , then

(x + 8)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x + 4 = 0 ⇒ x = - 4

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