ordered pair help plzzz

How many real order pairs of $(x,p)$ satisfy $\frac{100x^3}{3}-(150+\frac{p}{8})x^2 + (125 +\frac{5p}{8})x - (\frac{59p}{96} - \frac{75}{2}) = 0$ such that $0\leq x\leq2.5$ ?

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$