Question

If x’2 plus 4x equals -3, what does x equal?

Answer 1

Answer:
`x=-1` and
`x=-3`

Explanation:

1. Move all terms to one side of the equation to set it to zero:

`x^(2)` + 4
`x`
`+3=0`

2. Attempt to factor the quadratic expression:

`(x+1)(x+3)=0`

3. Set each factor equal to zero:

`x+1=0 or x +3=0`

4. Solve for x in each equation:
For x + 1 = 0 subtract 1 from both sides:

x = -1

For x + 3 = 0, subtract 3 from both sides:

x = -3

so the solution to the equation
`x^(2) +4=-3` are

`x+-1` and
`x+-3`