When solving the equation 4x – 4 = 0, we are trying to find the value of x that makes the equation true. Let’s break it down step by step:
- Add 4 to both sides of the equation:
- By adding 4 to both sides, we eliminate the -4 on the left side of the equation.
- The equation becomes: 4x = 4.
- Divide both sides of the equation by 4:
- Dividing both sides by 4 allows us to isolate x on the left side.
- The equation simplifies to: x = 1.
Therefore, the solution to the equation 4x – 4 = 0 is x = 1.
Here are a few key points to keep in mind:
- In an equation, the goal is to find the value(s) of the variable that make the equation true.
- We perform the same operation on both sides of the equation to maintain balance and equality.
- The order of operations (PEMDAS/BODMAS) applies when solving equations, but in this case, we only had a simple linear equation.
Let’s illustrate the solution with an example:
Example: Solve the equation 4x – 4 = 0.
Step 1: Add 4 to both sides: 4x – 4 + 4 = 0 + 4 4x = 4
Step 2: Divide both sides by 4: (4x) / 4 = 4 / 4 x = 1
So, for the equation 4x – 4 = 0, the solution is x = 1.
Remember, solving equations is a fundamental concept in mathematics and is used in various fields like physics, engineering, and finance. Understanding the basics will help you tackle more complex equations in the future.