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

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


Simplifying
(2x2 + -4x + -4x3 + 2) + -1(4x2 + -9x + -4x3 + 5) = 0

Reorder the terms:
(2 + -4x + 2x2 + -4x3) + -1(4x2 + -9x + -4x3 + 5) = 0

Remove parenthesis around (2 + -4x + 2x2 + -4x3)
2 + -4x + 2x2 + -4x3 + -1(4x2 + -9x + -4x3 + 5) = 0

Reorder the terms:
2 + -4x + 2x2 + -4x3 + -1(5 + -9x + 4x2 + -4x3) = 0
2 + -4x + 2x2 + -4x3 + (5 * -1 + -9x * -1 + 4x2 * -1 + -4x3 * -1) = 0
2 + -4x + 2x2 + -4x3 + (-5 + 9x + -4x2 + 4x3) = 0

Reorder the terms:
2 + -5 + -4x + 9x + 2x2 + -4x2 + -4x3 + 4x3 = 0

Combine like terms: 2 + -5 = -3
-3 + -4x + 9x + 2x2 + -4x2 + -4x3 + 4x3 = 0

Combine like terms: -4x + 9x = 5x
-3 + 5x + 2x2 + -4x2 + -4x3 + 4x3 = 0

Combine like terms: 2x2 + -4x2 = -2x2
-3 + 5x + -2x2 + -4x3 + 4x3 = 0

Combine like terms: -4x3 + 4x3 = 0
-3 + 5x + -2x2 + 0 = 0
-3 + 5x + -2x2 = 0

Solving
-3 + 5x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + 2x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {1.5, 1}

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