Question

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

Answer 1

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

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

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 $x=-12$