Solution - Polynomial root calculator
x=1.071797
x=6
x=6
x=14.928203
Step-by-step explanation
1. Normalize to P(x)=0
Rewrite the equation as a polynomial equal to zero.
2. Test candidate roots
Possible rational roots: -1, 1, -2, 2, -3, 3, -4, 4, -6, 6, -8, 8, -9, 9, -12, 12, -16, 16, -18, 18, -24, 24, -32, 32, -36, 36, -48, 48, -64, 64, -72, 72, -96, 96, -144, 144, -192, 192, -288, 288, -576, 576. Test each candidate and deflate when a root is found.
3. Solve the remaining factor
Solve the remaining polynomial using quadratic formula.
4. Collect all roots
All roots with multiplicity: x={1.071797,6,6,14.928203}.