(x+9)(x-2)=60

2 min read Jun 17, 2024

Solving the Quadratic Equation: (x+9)(x-2) = 60

This article will guide you through the steps of solving the quadratic equation (x+9)(x-2) = 60. Let's break it down:

First, we need to expand the left side of the equation by multiplying the binomials:

(x+9)(x-2) = x² + 7x - 18

Now, our equation looks like this:

x² + 7x - 18 = 60

Next, we need to move all the terms to one side of the equation to set it equal to zero:

x² + 7x - 78 = 0

Now, we need to factor the quadratic expression on the left side of the equation:

(x+13)(x-6) = 0

Finally, we can solve for x by setting each factor equal to zero:

x+13 = 0 or x-6 = 0

Solving for x in each equation, we get:

x = -13 or x = 6

Therefore, the solutions to the quadratic equation (x+9)(x-2) = 60 are x = -13 and x = 6.