=2000+40x-3x^2

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Solution for =2000+40x-3x^2 equation: 


Simplifying
0 = 2000 + 40x + -3x2

Solving
0 = 2000 + 40x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + -2000 = -2000
-2000 + -40x + 3x2 = 2000 + 40x + -3x2 + -2000 + -40x + 3x2

Reorder the terms:
-2000 + -40x + 3x2 = 2000 + -2000 + 40x + -40x + -3x2 + 3x2

Combine like terms: 2000 + -2000 = 0
-2000 + -40x + 3x2 = 0 + 40x + -40x + -3x2 + 3x2
-2000 + -40x + 3x2 = 40x + -40x + -3x2 + 3x2

Combine like terms: 40x + -40x = 0
-2000 + -40x + 3x2 = 0 + -3x2 + 3x2
-2000 + -40x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-2000 + -40x + 3x2 = 0

Factor a trinomial.
(-20 + -1x)(100 + -3x) = 0


Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

Subproblem 2
Set the factor '(100 + -3x)' equal to zero and attempt to solve:

Simplifying
100 + -3x = 0

Solving
100 + -3x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -3x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -3x = 0 + -100
-3x = 0 + -100

Combine like terms: 0 + -100 = -100
-3x = -100

Divide each side by '-3'.
x = 33.33333333

Simplifying
x = 33.33333333
Solution
x = {-20, 33.33333333}

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