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The question is asking to convert the given quadratic equation:
\[ 3x = -5x^2 + 12 \]
into its standard form. The standard form of a quadratic equation is typically:
\[ ax^2 + bx + c = 0 \]

### Steps to Convert:
1. Start with the equation:
   \[ 3x = -5x^2 + 12 \]

2. Rearrange the terms to gather all on one side of the equation:
   \[ 5x^2 + 3x - 12 = 0 \]

This is now in the standard form \( ax^2 + bx + c = 0 \), where \( a = 5 \), \( b = 3 \), and \( c = -12 \).

### Answer:
The correct answer is:
\[ 5x^2 + 3x - 12 = 0 \]

Would you like more details or have any questions?

### Related Questions:
1. What are the steps to solving quadratic equations in standard form?
2. How do you factor a quadratic equation?
3. What does the discriminant tell us about the solutions of a quadratic equation?
4. How can you convert any quadratic equation into vertex form?
5. What are the possible methods to solve quadratic equations?

### Tip:
Always make sure that the quadratic equation is arranged in descending order of the power of \( x \) when writing it in standard form.

Which is the quadratic equation 3x = -5x^2 + 12 in standard form?

Learn how to convert the quadratic equation 3x = -5x^2 + 12 to standard form, ax^2 + bx + c = 0. This step-by-step guide is suitable for students in grades 8-10.

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