Question

8 x squared plus 14 x equals 0

Answer 1

To solve the equation \( 8x^2 + 14x = 0 \), you can factor out the common term.

1. Factor out \( x \) from the equation:
\[
x(8x + 14) = 0
\]

2. This gives us two factors:
\[
x = 0 \quad \text{or} \quad 8x + 14 = 0
\]

3. Now, solve for \( x \) in the second factor:
\[
8x + 14 = 0
\]
\[
8x = -14
\]
\[
x = -\frac{14}{8}
\]
\[
x = -\frac{7}{4}
\]

So, the solutions to the equation \( 8x^2 + 14x = 0 \) are:
\[
x = 0 \quad \text{and} \quad x = -\frac{7}{4}
\]