Question

Complete the equivalent equation for –7x – 60 = x2 + 10x.

(x + )(x + ) = 0

What are the solutions of –7x – 60 = x2 + 10x?

x =

Answer 1

A. 5

B. 12

C. -12 or -5

Step-by-step explanation:

(x + 5)(x + 12) = 0

What are the solutions of –7x – 60 = x2 + 10x?

x = -12 or -5

Answer 2

The equivalent equation is
`(x+5)(x+12)=0`

The solution are
`x=-5, x=-12`

Step-by-step explanation:

Given that the equation is
`-7 x-60=x^2+10 x`

Simplifying the equation, we get,

`0=x^2+10 x+7x+60`

Switch sides, we have,

`x^2+17 x+60=0`

Equivalent equation:

Let us factor the quadratic equation.

Thus, we have,

`x^(2) +5x+12x+60=0`

Grouping the terms, we get,

`x(x+5)+12(x+5)=0`

Factoring out (x+5), we get,

`(x+5)(x+12)=0`

Thus, the equivalent equation is
`(x+5)(x+12)=0`

Solution:

Solving the equation
`(x+5)(x+12)=0`, we get,

`x+5=0` and
`x+12=0`

`x=-5` and
`x=-12`

Thus, the solutions are
`x=-5` and
`x=-12`