Answer:

To rewrite the equation \(5x + 4x^2 = 12\) in standard form of a quadratic equation, you'll want to set it equal to zero and arrange the terms in descending order of powers. The standard form of a quadratic equation is \(ax^2 + bx + c = 0\), where \(a\), \(b\), and \(c\) are constants.

Here's how to do it step by step:

1. Start with the given equation:

\(5x + 4x^2 = 12\)

2. Subtract 12 from both sides to move all terms to one side of the equation:

\(5x + 4x^2 - 12 = 0\)

3. Rearrange the terms in descending order of powers of \(x\):

\(4x^2 + 5x - 12 = 0\)

So, the equation \(5x + 4x^2 = 12\) in standard form is \(4x^2 + 5x - 12 = 0\). This is the standard form of a quadratic equation, where \(a = 4\), \(b = 5\), and \(c = -12\).

Step-by-step explanation:

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