Question

1. multiply $(2x - 5)(3x + 1)$

answer:

1. solve for the solutions: $(3x - 2)(x + 1) = 0$

answer:

Explanation:

Step1: Apply distributive property (FOIL)

$(2x)(3x) + (2x)(1) + (-5)(3x) + (-5)(1)$

Step2: Calculate each term

$6x^2 + 2x - 15x - 5$

Step3: Combine like terms

$6x^2 - 13x - 5$

Step4: Set each factor to zero

$3x - 2 = 0$ and $x + 1 = 0$

Step5: Solve first equation for x

$3x = 2 \implies x = \frac{2}{3}$

Step6: Solve second equation for x

$x = -1$

Answer:

1. $6x^2 - 13x - 5$
2. $x = \frac{2}{3}$ and $x = -1$