# How to solve linear equations by graphing

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## How can we solve linear equations by graphing

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Then, work through the equation step-by-step, using the order of operations to simplify each term. Be sure to keep track of any negative signs, as they will change the direction of the operation. Finally, check your work by plugging the value of the variable back into the equation. If everything checks out, you have successfully solved the equation!

For example, consider the equation x2 + 6x + 9 = 0. To solve this equation by completing the square, we would first add a constant to both sides so that the left side becomes a perfect square: x2 + 6x + 9 + 4 = 4. Next, we would factor the trinomial on the left side to get (x + 3)2 = 4. Finally, we would take the square root of both sides to get x + 3 = ±2, which means that x = -3 ± 2 or x = 1 ± 2. In other words, the solutions to the original equation are x = -1, x = 3, and x = 5.

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