Question

factor to solve the equation 4x^2+12x+5=-4
A, x=-1 1/2
B. X= - 1 1/2
C. X= - 2/3
D. X=2/3

Answer 1

What is the correct answer pick one

Answer 2

To solve the equation \(4x^2 + 12x + 5 = -4\), we first move \(-4\) to the left side:

\[
4x^2 + 12x + 5 + 4 = 0
\]

This simplifies to:

\[
4x^2 + 12x + 9 = 0
\]

Next, we can factor the quadratic expression. The equation can be rewritten as:

\[
4x^2 + 12x + 9 = (2x + 3)(2x + 3) = (2x + 3)^2
\]

Setting the factored form equal to zero gives us:

\[
(2x + 3)^2 = 0
\]

Taking the square root of both sides, we have:

\[
2x + 3 = 0
\]

Solving for \(x\):

\[
2x = -3
\]
\[
x = -\frac{3}{2}
\]
\[
x = -1.5
\]

Thus, the solution to the equation is:

\[
x = -1.5
\]

Looking at your options:

A. \(x = -1 \frac{1}{2}\) (This is \(x = -1.5\))
B. \(x = -1 \frac{1}{2}\) (This is also \(x = -1.5\))
C. \(x = -\frac{2}{3}\)
D. \(x = \frac{2}{3}\)

The correct answers are A and B as both represent \(x = -1.5\).

Answer 3

The correct answer is **A. \( x = -1 \frac{1}{2} \)**.