0=5600+170x-3x^2

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Solution for 0=5600+170x-3x^2 equation: 


Simplifying
0 = 5600 + 170x + -3x2

Solving
0 = 5600 + 170x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + -5600 = -5600
-5600 + -170x + 3x2 = 5600 + 170x + -3x2 + -5600 + -170x + 3x2

Reorder the terms:
-5600 + -170x + 3x2 = 5600 + -5600 + 170x + -170x + -3x2 + 3x2

Combine like terms: 5600 + -5600 = 0
-5600 + -170x + 3x2 = 0 + 170x + -170x + -3x2 + 3x2
-5600 + -170x + 3x2 = 170x + -170x + -3x2 + 3x2

Combine like terms: 170x + -170x = 0
-5600 + -170x + 3x2 = 0 + -3x2 + 3x2
-5600 + -170x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-5600 + -170x + 3x2 = 0

Factor a trinomial.
(-70 + -3x)(80 + -1x) = 0


Subproblem 1
Set the factor '(-70 + -3x)' equal to zero and attempt to solve:

Simplifying
-70 + -3x = 0

Solving
-70 + -3x = 0

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

Add '70' to each side of the equation.
-70 + 70 + -3x = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -3x = 0 + 70
-3x = 0 + 70

Combine like terms: 0 + 70 = 70
-3x = 70

Divide each side by '-3'.
x = -23.33333333

Simplifying
x = -23.33333333

Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Solution
x = {-23.33333333, 80}

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