Question

Solve for all values of xx by factoring.
x^{2}+5x-3= −4x−3

Answer 1

x=0, x= -9

Explanation:

First we simplify the equation into the form

ax^{2}+bx+c=0

By adding 4x+3 on both sides, we form the equation

x^{2}+9x=0

Now, we factor out the common factor: x.

x(x+9)=0

The only values that allow x(x+9) to be equal to 0 are:

x=0 or

x+9=0

The solutions are x=0 or x= -9