$$\frac{ (4 { i }^{ 2 } -3i) }{ (2 { i }^{ 2 } +5i) }$$
$-\frac{7}{29}+\frac{26}{29}i\approx -0.24137931+0.896551724i$
$$\frac{4\left(-1\right)-3i}{2i^{2}+5i}$$
$$\frac{-4-3i}{2i^{2}+5i}$$
$$\frac{-4-3i}{2\left(-1\right)+5i}$$
$$\frac{-4-3i}{-2+5i}$$
$$\frac{\left(-4-3i\right)\left(-2-5i\right)}{\left(-2+5i\right)\left(-2-5i\right)}$$
$$\frac{-7+26i}{29}$$
$$-\frac{7}{29}+\frac{26}{29}i$$
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$-\frac{7}{29} = -0.2413793103448276$
$$Re(\frac{4\left(-1\right)-3i}{2i^{2}+5i})$$
$$Re(\frac{-4-3i}{2i^{2}+5i})$$
$$Re(\frac{-4-3i}{2\left(-1\right)+5i})$$
$$Re(\frac{-4-3i}{-2+5i})$$
$$Re(\frac{\left(-4-3i\right)\left(-2-5i\right)}{\left(-2+5i\right)\left(-2-5i\right)})$$
$$Re(\frac{-7+26i}{29})$$
$$Re(-\frac{7}{29}+\frac{26}{29}i)$$
$$-\frac{7}{29}$$
