(4x^2-3x^3)-(2x^2-6x^3)=

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Solution for (4x^2-3x^3)-(2x^2-6x^3)= equation: 


Simplifying
(4x2 + -3x3) + -1(2x2 + -6x3) = 0

Remove parenthesis around (4x2 + -3x3)
4x2 + -3x3 + -1(2x2 + -6x3) = 0
4x2 + -3x3 + (2x2 * -1 + -6x3 * -1) = 0
4x2 + -3x3 + (-2x2 + 6x3) = 0

Reorder the terms:
4x2 + -2x2 + -3x3 + 6x3 = 0

Combine like terms: 4x2 + -2x2 = 2x2
2x2 + -3x3 + 6x3 = 0

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

Solving
2x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + 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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {0, -0.6666666667}

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