Question

Which quadratic equation is equivalent to the one below? (x + 3)(x + 5) = 0

Answer 1

`x^(2)+8x+15=0`

Step-by-step explanation

Given

`\left(x+3\right)\left(x+5\right)=0`

To find an equivalent equation, we have to use the distributive property of the multiplication, in which every single variable/number is multiplied:

`(x\cdot x+5\cdot x+3\cdot x+3\cdot5)=0`

Simplifying:

`x^2+8x+15=0`