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Determine the partial fraction decomposi...

Determine the partial fraction decomposition of `(9-9x)/(2x^2+7x-4)`

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To determine the partial fraction decomposition of the expression \(\frac{9-9x}{2x^2+7x-4}\), we will follow these steps: ### Step 1: Factor the Denominator First, we need to factor the quadratic expression in the denominator, \(2x^2 + 7x - 4\). To factor \(2x^2 + 7x - 4\), we can look for two numbers that multiply to \(2 \times -4 = -8\) and add to \(7\). The numbers \(8\) and \(-1\) work because \(8 \times -1 = -8\) and \(8 + (-1) = 7\). ...
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(9x)/(7-6x)=2