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

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


Simplifying
(-1x2 + 3x) + -1(5x + 2x2) = 0

Reorder the terms:
(3x + -1x2) + -1(5x + 2x2) = 0

Remove parenthesis around (3x + -1x2)
3x + -1x2 + -1(5x + 2x2) = 0
3x + -1x2 + (5x * -1 + 2x2 * -1) = 0
3x + -1x2 + (-5x + -2x2) = 0

Reorder the terms:
3x + -5x + -1x2 + -2x2 = 0

Combine like terms: 3x + -5x = -2x
-2x + -1x2 + -2x2 = 0

Combine like terms: -1x2 + -2x2 = -3x2
-2x + -3x2 = 0

Solving
-2x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(2 + 3x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
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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