6x^3+30x^2-100x=6x^2+26

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Solution for 6x^3+30x^2-100x=6x^2+26 equation:


Simplifying
6x3 + 30x2 + -100x = 6x2 + 26

Reorder the terms:
-100x + 30x2 + 6x3 = 6x2 + 26

Reorder the terms:
-100x + 30x2 + 6x3 = 26 + 6x2

Solving
-100x + 30x2 + 6x3 = 26 + 6x2

Solving for variable 'x'.

Reorder the terms:
-26 + -100x + 30x2 + -6x2 + 6x3 = 26 + 6x2 + -26 + -6x2

Combine like terms: 30x2 + -6x2 = 24x2
-26 + -100x + 24x2 + 6x3 = 26 + 6x2 + -26 + -6x2

Reorder the terms:
-26 + -100x + 24x2 + 6x3 = 26 + -26 + 6x2 + -6x2

Combine like terms: 26 + -26 = 0
-26 + -100x + 24x2 + 6x3 = 0 + 6x2 + -6x2
-26 + -100x + 24x2 + 6x3 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-26 + -100x + 24x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + -50x + 12x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-13 + -50x + 12x2 + 3x3)' equal to zero and attempt to solve: Simplifying -13 + -50x + 12x2 + 3x3 = 0 Solving -13 + -50x + 12x2 + 3x3 = 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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