What is the answer to (-(28q^2+57q-144)*1)/((2q^3))=q-6 ?

The answer to (-(28q^2+57q-144)*1)/((2q^3))=q-6 is q\approx 1.79622…,q\approx-2.06596…

Solve for q: (-(28q^2+57q-144)*1)/((2q^3))=q-6

The solution is q\approx 1.79622…,q\approx-2.06596…

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\frac{- ( 28 q ^{2} + 57 q - 144 ) \cdot 1}{( 2 q ^{3} )} = q - 6

q \approx 1.79622 \dots, q \approx - 2.06596 \dots

Solution steps

\frac{- ( 28 q ^{2} + 57 q - 144 ) \cdot 1}{( 2 q ^{3} )} = q - 6

Simplify

\frac{- ( 28 q ^{2} + 57 q - 144 ) \cdot 1}{2 q ^{3}} : - \frac{28 q ^{2} + 57 q - 144}{2 q ^{3}}

- \frac{28 q ^{2} + 57 q - 144}{2 q ^{3}} = q - 6

Multiply both sides by

q^{3}

- \frac{28 q ^{2} + 57 q - 144}{2} = q^{4} - 6 q^{3}

Solve

- \frac{28 q ^{2} + 57 q - 144}{2} = q^{4} - 6 q^{3} : q \approx 1.79622 \dots, q \approx - 2.06596 \dots

q \approx 1.79622 \dots, q \approx - 2.06596 \dots

Verify Solutions

Find undefined (singularity) points:

q = 0

Combine undefined points with solutions:

q \approx 1.79622 \dots, q \approx - 2.06596 \dots

\frac{n !}{( n - 2 ) !} = 240

\frac{3}{2 x - 4} = 0.5

\frac{2 x - 1}{3} = \frac{1}{5 - x}

x, \frac{2}{x} - \frac{3}{y} = 9

(\frac{( x ^{1} ) ^{2} + 1}{( x ^{1} ) ^{2}}) = 8

What is the answer to (-(28q^2+57q-144)*1)/((2q^3))=q-6 ?
The answer to (-(28q^2+57q-144)*1)/((2q^3))=q-6 is q\approx 1.79622…,q\approx-2.06596…
Solve for q: (-(28q^2+57q-144)*1)/((2q^3))=q-6
The solution is q\approx 1.79622…,q\approx-2.06596…