x^5-6x^4-3x^3=x^3*x^2-x^3*6x*-x^3*3

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Solution for x^5-6x^4-3x^3=x^3*x^2-x^3*6x*-x^3*3 equation:


Simplifying
x5 + -6x4 + -3x3 = x3 * x2 + -1x3 * 6x * -1x3 * 3

Reorder the terms:
-3x3 + -6x4 + x5 = x3 * x2 + -1x3 * 6x * -1x3 * 3

Multiply x3 * x2
-3x3 + -6x4 + x5 = x5 + -1x3 * 6x * -1x3 * 3

Reorder the terms for easier multiplication:
-3x3 + -6x4 + x5 = x5 + -1 * 6 * -1 * 3x3 * x * x3

Multiply -1 * 6
-3x3 + -6x4 + x5 = x5 + -6 * -1 * 3x3 * x * x3

Multiply -6 * -1
-3x3 + -6x4 + x5 = x5 + 6 * 3x3 * x * x3

Multiply 6 * 3
-3x3 + -6x4 + x5 = x5 + 18x3 * x * x3

Multiply x3 * x
-3x3 + -6x4 + x5 = x5 + 18x4 * x3

Multiply x4 * x3
-3x3 + -6x4 + x5 = x5 + 18x7

Add '-1x5' to each side of the equation.
-3x3 + -6x4 + x5 + -1x5 = x5 + -1x5 + 18x7

Combine like terms: x5 + -1x5 = 0
-3x3 + -6x4 + 0 = x5 + -1x5 + 18x7
-3x3 + -6x4 = x5 + -1x5 + 18x7

Combine like terms: x5 + -1x5 = 0
-3x3 + -6x4 = 0 + 18x7
-3x3 + -6x4 = 18x7

Solving
-3x3 + -6x4 = 18x7

Solving for variable 'x'.

Combine like terms: 18x7 + -18x7 = 0
-3x3 + -6x4 + -18x7 = 0

Factor out the Greatest Common Factor (GCF), '-3x3'.
-3x3(1 + 2x + 6x4) = 0

Ignore the factor -3.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + 2x + 6x4)' equal to zero and attempt to solve: Simplifying 1 + 2x + 6x4 = 0 Solving 1 + 2x + 6x4 = 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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