𝑥(𝑥+2)=5𝑥+28x(x+2)=5x+28What is the sum of the solutions to the given equation?

To find the sum of the solutions to the given equation, we first need to solve the equation. The equation is a quadratic equation, and it can be solved by setting it to zero and factoring, completing the square, or using the quadratic formula.

The equation is: x(x+2) = 5x + 28

Step 1: Expand the left side of the equation: x^2 + 2x = 5x + 28

Step 2: Rearrange the equation to set it to zero: x^2 + 2x - 5x - 28 = 0

Step 3: Simplify the equation: x^2 - 3x - 28 = 0

Now we have a quadratic equation in the form ax^2 + bx + c = 0, where a = 1, b = -3, and c = -28.

The sum of the solutions of a quadratic equation is given by -b/a.

So, the sum of the solutions to the given equation is -(-3)/1 = 3.