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

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


Simplifying
(4x2 + -3x3) + -1(9x2 + -5x3) = -5x2 + 2x3

Remove parenthesis around (4x2 + -3x3)
4x2 + -3x3 + -1(9x2 + -5x3) = -5x2 + 2x3
4x2 + -3x3 + (9x2 * -1 + -5x3 * -1) = -5x2 + 2x3
4x2 + -3x3 + (-9x2 + 5x3) = -5x2 + 2x3

Reorder the terms:
4x2 + -9x2 + -3x3 + 5x3 = -5x2 + 2x3

Combine like terms: 4x2 + -9x2 = -5x2
-5x2 + -3x3 + 5x3 = -5x2 + 2x3

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

Add '5x2' to each side of the equation.
-5x2 + 5x2 + 2x3 = -5x2 + 5x2 + 2x3

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

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

Add '-2x3' to each side of the equation.
2x3 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
0 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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