0=-25x^3+5x^2+75x+125

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Solution for 0=-25x^3+5x^2+75x+125 equation:


Simplifying
0 = -25x3 + 5x2 + 75x + 125

Reorder the terms:
0 = 125 + 75x + 5x2 + -25x3

Solving
0 = 125 + 75x + 5x2 + -25x3

Solving for variable 'x'.

Combine like terms: 0 + -125 = -125
-125 + -75x + -5x2 + 25x3 = 125 + 75x + 5x2 + -25x3 + -125 + -75x + -5x2 + 25x3

Reorder the terms:
-125 + -75x + -5x2 + 25x3 = 125 + -125 + 75x + -75x + 5x2 + -5x2 + -25x3 + 25x3

Combine like terms: 125 + -125 = 0
-125 + -75x + -5x2 + 25x3 = 0 + 75x + -75x + 5x2 + -5x2 + -25x3 + 25x3
-125 + -75x + -5x2 + 25x3 = 75x + -75x + 5x2 + -5x2 + -25x3 + 25x3

Combine like terms: 75x + -75x = 0
-125 + -75x + -5x2 + 25x3 = 0 + 5x2 + -5x2 + -25x3 + 25x3
-125 + -75x + -5x2 + 25x3 = 5x2 + -5x2 + -25x3 + 25x3

Combine like terms: 5x2 + -5x2 = 0
-125 + -75x + -5x2 + 25x3 = 0 + -25x3 + 25x3
-125 + -75x + -5x2 + 25x3 = -25x3 + 25x3

Combine like terms: -25x3 + 25x3 = 0
-125 + -75x + -5x2 + 25x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-25 + -15x + -1x2 + 5x3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-25 + -15x + -1x2 + 5x3)' equal to zero and attempt to solve: Simplifying -25 + -15x + -1x2 + 5x3 = 0 Solving -25 + -15x + -1x2 + 5x3 = 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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