f(0)=0.8x^6-0.5x^5+x^4-4x^3-3*x^2+6*x

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Solution for f(0)=0.8x^6-0.5x^5+x^4-4x^3-3*x^2+6*x equation: 


Simplifying
f(0) = 0.8x6 + -0.5x5 + x4 + -4x3 + -3x2 + 6x

Reorder the terms for easier multiplication:
0f = 0.8x6 + -0.5x5 + x4 + -4x3 + -3x2 + 6x

Anything times zero is zero.
0f = 0.8x6 + -0.5x5 + x4 + -4x3 + -3x2 + 6x

Reorder the terms:
0 = 6x + -3x2 + -4x3 + x4 + -0.5x5 + 0.8x6

Solving
0 = 6x + -3x2 + -4x3 + x4 + -0.5x5 + 0.8x6

Solving for variable 'x'.
Remove the zero:
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 6x + -3x2 + -4x3 + x4 + -0.5x5 + 0.8x6 + -6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6

Reorder the terms:
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 6x + -6x + -3x2 + 3x2 + -4x3 + 4x3 + x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6

Combine like terms: 6x + -6x = 0
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0 + -3x2 + 3x2 + -4x3 + 4x3 + x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = -3x2 + 3x2 + -4x3 + 4x3 + x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6

Combine like terms: -3x2 + 3x2 = 0
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0 + -4x3 + 4x3 + x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = -4x3 + 4x3 + x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6

Combine like terms: -4x3 + 4x3 = 0
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0 + x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = x4 + -1x4 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6

Combine like terms: x4 + -1x4 = 0
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0 + -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = -0.5x5 + 0.5x5 + 0.8x6 + -0.8x6

Combine like terms: -0.5x5 + 0.5x5 = 0.0
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0.0 + 0.8x6 + -0.8x6
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0.8x6 + -0.8x6

Combine like terms: 0.8x6 + -0.8x6 = 0.0
-6x + 3x2 + 4x3 + -1x4 + 0.5x5 + -0.8x6 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 3x + 4x2 + -1x3 + 0.5x4 + -0.8x5) = 0.0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-6 + 3x + 4x2 + -1x3 + 0.5x4 + -0.8x5)' equal to zero and attempt to solve:

Simplifying
-6 + 3x + 4x2 + -1x3 + 0.5x4 + -0.8x5 = 0

Solving
-6 + 3x + 4x2 + -1x3 + 0.5x4 + -0.8x5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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