Questions: 81x^3 + 100x = 180x^2

81x^3 + 100x = 180x^2
Transcript text: \(81 x^{3}+100 x=180 x^{2}\)
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Solution

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Factor the quadratic equation \(81x^{3} + 100x = 180x^{2}\).

Rearranging the equation.

We start by moving all terms to one side of the equation:
\[ 81x^{3} - 180x^{2} + 100x = 0 \]

Factoring the polynomial.

The polynomial can be factored as follows:
\[ x \left(9x - 10\right)^{2} \]

The factorized form of the equation is \(x \left(9x - 10\right)^{2}\).

The factorized form of the quadratic equation is \(x \left(9x - 10\right)^{2}\).

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