=(2x^2-5x^3)-(9x^2-8x^3)

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Solution for =(2x^2-5x^3)-(9x^2-8x^3) equation: 


Simplifying
0 = (2x2 + -5x3) + -1(9x2 + -8x3)

Remove parenthesis around (2x2 + -5x3)
0 = 2x2 + -5x3 + -1(9x2 + -8x3)
0 = 2x2 + -5x3 + (9x2 * -1 + -8x3 * -1)
0 = 2x2 + -5x3 + (-9x2 + 8x3)

Reorder the terms:
0 = 2x2 + -9x2 + -5x3 + 8x3

Combine like terms: 2x2 + -9x2 = -7x2
0 = -7x2 + -5x3 + 8x3

Combine like terms: -5x3 + 8x3 = 3x3
0 = -7x2 + 3x3

Solving
0 = -7x2 + 3x3

Solving for variable 'x'.
Remove the zero:
7x2 + -3x3 = -7x2 + 3x3 + 7x2 + -3x3

Reorder the terms:
7x2 + -3x3 = -7x2 + 7x2 + 3x3 + -3x3

Combine like terms: -7x2 + 7x2 = 0
7x2 + -3x3 = 0 + 3x3 + -3x3
7x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
7x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(7 + -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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0, 2.333333333}

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