Jasonbradley
Home

(x-3)(x+2)-(x+5)(x-1)=3x

2 min read Jun 17, 2024
(x-3)(x+2)-(x+5)(x-1)=3x

Solving the Equation: (x-3)(x+2)-(x+5)(x-1)=3x

This article will guide you through the steps of solving the equation (x-3)(x+2)-(x+5)(x-1)=3x.

Step 1: Expanding the Equation

First, we need to expand the equation by multiplying the terms within the parentheses.

  • (x-3)(x+2) can be expanded using the FOIL method (First, Outer, Inner, Last):

    • x * x = x²
    • x * 2 = 2x
    • -3 * x = -3x
    • -3 * 2 = -6
    • Combining these terms, we get: x² - x - 6

  • (x+5)(x-1) can be expanded similarly:

    • x * x = x²
    • x * -1 = -x
    • 5 * x = 5x
    • 5 * -1 = -5
    • Combining these terms, we get: x² + 4x - 5

Now our equation becomes: x² - x - 6 - (x² + 4x - 5) = 3x

Step 2: Simplifying the Equation

Next, we can simplify the equation by distributing the negative sign and combining like terms:

  • x² - x - 6 - x² - 4x + 5 = 3x
  • -5x - 1 = 3x

Step 3: Isolating the Variable

Now, we need to isolate the variable x on one side of the equation. Let's move all terms with x to the left side:

  • -5x - 3x = 1
  • -8x = 1

Step 4: Solving for x

Finally, we can solve for x by dividing both sides of the equation by -8:

  • x = -1/8

Therefore, the solution to the equation (x-3)(x+2)-(x+5)(x-1)=3x is x = -1/8.

Related Post

Featured Posts