To solve the quadratic equation 5x² + 8 = 133, the first step is to isolate the term with x. This is done by subtracting 8 from both sides of the equation.
When we subtract 8 from each side, we are moving the constant term to the other side, making it easier to work with the quadratic term. Here’s how it looks:
5x² + 8 – 8 = 133 – 8
This simplifies to:
5x² = 125
Now that we have isolated the term with x, we can proceed with the next steps to solve for x. This approach helps maintain the balance of the equation and is fundamental when working with algebraic equations.