Write the quadratic equation in standard form:
5, x, squared, minus, 6, equals, minus, 6, x
5x 
2
 −6=
−6x

To write the given equation in standard form, let's follow these steps:

1. Start with the equation:
   \[
   5x^2 - 6 = -6x
   \]

2. Move all terms to one side of the equation (usually to the left) so that the right-hand side equals zero:
   \[
   5x^2 + 6x - 6 = 0
   \]

This is now the quadratic equation in standard form:
\[
5x^2 + 6x - 6 = 0
\]

### Do you need any further clarification?

Here are 5 related questions to expand on this:

1. How do you solve a quadratic equation using the quadratic formula?
2. What are the roots of the quadratic equation \(5x^2 + 6x - 6 = 0\)?
3. How do you factor a quadratic equation?
4. What is the discriminant in a quadratic equation, and how is it used?
5. Can a quadratic equation have complex roots?

**Tip:** When moving terms across the equation, remember to change their signs!

Write the quadratic equation in standard form: 5x^2 - 6 = -6x

Learn how to write and solve the quadratic equation 5x^2 + 6x - 6 = 0 by moving terms and simplifying. This problem explores algebraic techniques for quadratic equations, including converting to standard form and applying key theorems. Ideal for students in Grades 8-10.

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