To use the Quadratic Formula, we first need to rewrite the quadratic equation in standard form, which is \( ax^2 + bx + c = 0 \).
The given equation is:
\[ 7x^2 + 2x = 4 \]
Now, we need to move all terms to one side of the equation so that it equals zero. We can do this by subtracting 4 from both sides:
\[ 7x^2 + 2x - 4 = 0 \]
Now that the equation is in standard form, we can identify the coefficients \( a \), \( b \), and \( c \):
- \( a = 7 \)
- \( b = 2 \)
- \( c = -4 \)
With this, we can now apply the Quadratic Formula, which is:
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
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