What value of g makes the equation true ? (x+7)(x-4)=x^2+gx-28

Hello there!

(x + 7)(x - 4) = x² + gx - 28
Let's start by flipping the equation.
x² + gx - 28 = x² + 3x - 28
Then add 28 to both sides
x² + gx - 28 + 28 = x² + 3x - 28 + 28
x² + gx = x² + 3x
Next, add -x² to both sides
x² + gx - x² = x² + 3x - x²
gx = 3x
Remember that we need to solve for g. So to get g here, we need to divide both sides by x
gx/x = 3x/x
g = 3

What value of g makes the equation true?

The number 3 is the value of g that will make the equation true.

I hope this helps. Please let me know if you have questions about my answer.

Thanks!