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

(x + )(x + ) = 0

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

x =

2 Answers

2 votes

Answer:

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

User Eephyne
by
8.3k points
4 votes

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

User Mahmoud Jorban
by
8.8k points

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