it says find the roots of each equation by factoring
x^2+8x=-16
x^2+8X+16
(X+4) (X+4)
x=-4
thanks just new way of putting it thansk
To find the roots of the equation x^2 + 8x = -16 by factoring, you need to rearrange the equation into a quadratic form.
Start by moving all terms to one side of the equation to set it equal to zero:
x^2 + 8x + 16 = 0
Now, we need to factor this quadratic equation. To do this, you are looking for two numbers that multiply to give you 16 (the constant term) and add up to give you 8 (the coefficient of the x term).
The numbers 4 and 4 fit these criteria. Therefore, you can rewrite the equation as:
(x + 4)(x + 4) = 0
This expression can be further simplified to:
(x + 4)^2 = 0
To find the roots, set each factor equal to zero and solve for x:
x + 4 = 0
x = -4
Therefore, the equation x^2 + 8x = -16 has one root: x = -4.