Write the quadratic equation in standard form:

4, x, squared, minus, 20, equals, minus, 6, x

4*x*2−20=−6*x*

To write the quadratic equation in standard form, we need to rearrange the terms so that it follows this structure:

\[
ax^2 + bx + c = 0
\]

The given equation is:

\[
4x^2 - 20 = -6x
\]

**Step 1:** Move all terms to one side of the equation.

\[
4x^2 + 6x - 20 = 0
\]

Now, this is in standard form with:
- \(a = 4\),
- \(b = 6\),
- \(c = -20\).

The quadratic equation in standard form is:

\[
4x^2 + 6x - 20 = 0
\]

Would you like further details on solving or factoring this equation?

Here are 5 related questions for further practice:
1. How do you solve this quadratic equation using the quadratic formula?
2. Can you factor this quadratic equation?
3. What are the solutions (roots) of the quadratic equation?
4. How do you complete the square to solve this equation?
5. How do you find the discriminant, and what does it tell you about the roots?

**Tip:** When rearranging equations into standard form, always ensure all terms are moved to one side to set the equation equal to zero.

Write the quadratic equation in standard form: 4x^2 - 20 = -6x

Learn how to rearrange and write the quadratic equation 4x^2 - 20 = -6x in standard form. This step-by-step solution explains the key algebraic concepts and covers the standard form of quadratic equations, making it ideal for students in Grades 9-10.

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