3x^3-36x^2+120x=x^3-18x^2+120x-98

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Solution for 3x^3-36x^2+120x=x^3-18x^2+120x-98 equation:


Simplifying
3x3 + -36x2 + 120x = x3 + -18x2 + 120x + -98

Reorder the terms:
120x + -36x2 + 3x3 = x3 + -18x2 + 120x + -98

Reorder the terms:
120x + -36x2 + 3x3 = -98 + 120x + -18x2 + x3

Add '-120x' to each side of the equation.
120x + -36x2 + -120x + 3x3 = -98 + 120x + -18x2 + -120x + x3

Reorder the terms:
120x + -120x + -36x2 + 3x3 = -98 + 120x + -18x2 + -120x + x3

Combine like terms: 120x + -120x = 0
0 + -36x2 + 3x3 = -98 + 120x + -18x2 + -120x + x3
-36x2 + 3x3 = -98 + 120x + -18x2 + -120x + x3

Reorder the terms:
-36x2 + 3x3 = -98 + 120x + -120x + -18x2 + x3

Combine like terms: 120x + -120x = 0
-36x2 + 3x3 = -98 + 0 + -18x2 + x3
-36x2 + 3x3 = -98 + -18x2 + x3

Solving
-36x2 + 3x3 = -98 + -18x2 + x3

Solving for variable 'x'.

Reorder the terms:
98 + -36x2 + 18x2 + 3x3 + -1x3 = -98 + -18x2 + x3 + 98 + 18x2 + -1x3

Combine like terms: -36x2 + 18x2 = -18x2
98 + -18x2 + 3x3 + -1x3 = -98 + -18x2 + x3 + 98 + 18x2 + -1x3

Combine like terms: 3x3 + -1x3 = 2x3
98 + -18x2 + 2x3 = -98 + -18x2 + x3 + 98 + 18x2 + -1x3

Reorder the terms:
98 + -18x2 + 2x3 = -98 + 98 + -18x2 + 18x2 + x3 + -1x3

Combine like terms: -98 + 98 = 0
98 + -18x2 + 2x3 = 0 + -18x2 + 18x2 + x3 + -1x3
98 + -18x2 + 2x3 = -18x2 + 18x2 + x3 + -1x3

Combine like terms: -18x2 + 18x2 = 0
98 + -18x2 + 2x3 = 0 + x3 + -1x3
98 + -18x2 + 2x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
98 + -18x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -9x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(49 + -9x2 + x3)' equal to zero and attempt to solve: Simplifying 49 + -9x2 + x3 = 0 Solving 49 + -9x2 + x3 = 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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