0=4x^3-160x^2+1500x+4000

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Solution for 0=4x^3-160x^2+1500x+4000 equation:


Simplifying
0 = 4x3 + -160x2 + 1500x + 4000

Reorder the terms:
0 = 4000 + 1500x + -160x2 + 4x3

Solving
0 = 4000 + 1500x + -160x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + -4000 = -4000
-4000 + -1500x + 160x2 + -4x3 = 4000 + 1500x + -160x2 + 4x3 + -4000 + -1500x + 160x2 + -4x3

Reorder the terms:
-4000 + -1500x + 160x2 + -4x3 = 4000 + -4000 + 1500x + -1500x + -160x2 + 160x2 + 4x3 + -4x3

Combine like terms: 4000 + -4000 = 0
-4000 + -1500x + 160x2 + -4x3 = 0 + 1500x + -1500x + -160x2 + 160x2 + 4x3 + -4x3
-4000 + -1500x + 160x2 + -4x3 = 1500x + -1500x + -160x2 + 160x2 + 4x3 + -4x3

Combine like terms: 1500x + -1500x = 0
-4000 + -1500x + 160x2 + -4x3 = 0 + -160x2 + 160x2 + 4x3 + -4x3
-4000 + -1500x + 160x2 + -4x3 = -160x2 + 160x2 + 4x3 + -4x3

Combine like terms: -160x2 + 160x2 = 0
-4000 + -1500x + 160x2 + -4x3 = 0 + 4x3 + -4x3
-4000 + -1500x + 160x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-4000 + -1500x + 160x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1000 + -375x + 40x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1000 + -375x + 40x2 + -1x3)' equal to zero and attempt to solve: Simplifying -1000 + -375x + 40x2 + -1x3 = 0 Solving -1000 + -375x + 40x2 + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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