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

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


Simplifying
3x3 + 6x2 + 9x = 9x2 + 9x

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

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

Add '-9x' to each side of the equation.
9x + 6x2 + -9x + 3x3 = 9x + -9x + 9x2

Reorder the terms:
9x + -9x + 6x2 + 3x3 = 9x + -9x + 9x2

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

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

Solving
6x2 + 3x3 = 9x2

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-1 + x) = 0

Ignore the factor 3.

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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