F(x)=x^4-10x^3+37x^2-60x+37

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Solution for F(x)=x^4-10x^3+37x^2-60x+37 equation:


Simplifying
F(x) = x4 + -10x3 + 37x2 + -60x + 37

Multiply F * x
xF = x4 + -10x3 + 37x2 + -60x + 37

Reorder the terms:
xF = 37 + -60x + 37x2 + -10x3 + x4

Solving
xF = 37 + -60x + 37x2 + -10x3 + x4

Solving for variable 'x'.

Reorder the terms:
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 37 + -60x + 37x2 + -10x3 + x4 + -37 + 60x + -37x2 + 10x3 + -1x4

Reorder the terms:
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 37 + -37 + -60x + 60x + 37x2 + -37x2 + -10x3 + 10x3 + x4 + -1x4

Combine like terms: 37 + -37 = 0
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 0 + -60x + 60x + 37x2 + -37x2 + -10x3 + 10x3 + x4 + -1x4
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = -60x + 60x + 37x2 + -37x2 + -10x3 + 10x3 + x4 + -1x4

Combine like terms: -60x + 60x = 0
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 0 + 37x2 + -37x2 + -10x3 + 10x3 + x4 + -1x4
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 37x2 + -37x2 + -10x3 + 10x3 + x4 + -1x4

Combine like terms: 37x2 + -37x2 = 0
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 0 + -10x3 + 10x3 + x4 + -1x4
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = -10x3 + 10x3 + x4 + -1x4

Combine like terms: -10x3 + 10x3 = 0
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 0 + x4 + -1x4
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-37 + 60x + xF + -37x2 + 10x3 + -1x4 = 0

The solution to this equation could not be determined.

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