Question

x ( x+1) + ( x+2)(x+3) =42​

Answer 1

✴Answer:

Grouping two factors forms a quadratic equation, by solving the equation we gain the factors for the given equation.

Refer to the attachment hope this helps u♡

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The factors of the equation is

=> x = 3, -6 ✔

Answer 2

Answer:

Given, x(x+1) + (x+2)(x+3) = 42 can be written as,

          x(x+1) + (x+2)(x+3) - 42 = 0

          x^2 + x + x^2 + 3x + 2x + 6 - 42 = 0

          2x^2 + 6x - 36 = 0

          2(x^2 + 3x - 18) = 0

          2(x+6)(x-3) = 0

            x = -6, 3.

Step-by-step explanation: