2x^2+6x^2-6x^3+3x^3=

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


Simplifying
2x2 + 6x2 + -6x3 + 3x3 = 0

Combine like terms: 2x2 + 6x2 = 8x2
8x2 + -6x3 + 3x3 = 0

Combine like terms: -6x3 + 3x3 = -3x3
8x2 + -3x3 = 0

Solving
8x2 + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(8 + -3x) = 0


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 '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {0, 2.666666667}

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