3x^3+9x^2+6x^3=

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Solution for 3x^3+9x^2+6x^3= equation:


Simplifying
3x3 + 9x2 + 6x3 = 0

Reorder the terms:
9x2 + 3x3 + 6x3 = 0

Combine like terms: 3x3 + 6x3 = 9x3
9x2 + 9x3 = 0

Solving
9x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(1 + x) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0, -1}

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