0=3x^2-50x-200

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Solution for 0=3x^2-50x-200 equation: 


Simplifying
0 = 3x2 + -50x + -200

Reorder the terms:
0 = -200 + -50x + 3x2

Solving
0 = -200 + -50x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 200 = 200
200 + 50x + -3x2 = -200 + -50x + 3x2 + 200 + 50x + -3x2

Reorder the terms:
200 + 50x + -3x2 = -200 + 200 + -50x + 50x + 3x2 + -3x2

Combine like terms: -200 + 200 = 0
200 + 50x + -3x2 = 0 + -50x + 50x + 3x2 + -3x2
200 + 50x + -3x2 = -50x + 50x + 3x2 + -3x2

Combine like terms: -50x + 50x = 0
200 + 50x + -3x2 = 0 + 3x2 + -3x2
200 + 50x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
200 + 50x + -3x2 = 0

Factor a trinomial.
(20 + -1x)(10 + 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 '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {20, -3.333333333}

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