(4x^2-3x^3)-(9x^2-5x^3)=-3x^6

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Solution for (4x^2-3x^3)-(9x^2-5x^3)=-3x^6 equation: 


Simplifying
(4x2 + -3x3) + -1(9x2 + -5x3) = -3x6

Remove parenthesis around (4x2 + -3x3)
4x2 + -3x3 + -1(9x2 + -5x3) = -3x6
4x2 + -3x3 + (9x2 * -1 + -5x3 * -1) = -3x6
4x2 + -3x3 + (-9x2 + 5x3) = -3x6

Reorder the terms:
4x2 + -9x2 + -3x3 + 5x3 = -3x6

Combine like terms: 4x2 + -9x2 = -5x2
-5x2 + -3x3 + 5x3 = -3x6

Combine like terms: -3x3 + 5x3 = 2x3
-5x2 + 2x3 = -3x6

Solving
-5x2 + 2x3 = -3x6

Solving for variable 'x'.

Combine like terms: -3x6 + 3x6 = 0
-5x2 + 2x3 + 3x6 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-5 + 2x + 3x4) = 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 '(-5 + 2x + 3x4)' equal to zero and attempt to solve:

Simplifying
-5 + 2x + 3x4 = 0

Solving
-5 + 2x + 3x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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