0=600*x^2-170*x-6100

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Solution for 0=600*x^2-170*x-6100 equation: 


Simplifying
0 = 600x2 + -170x + -6100

Reorder the terms:
0 = -6100 + -170x + 600x2

Solving
0 = -6100 + -170x + 600x2

Solving for variable 'x'.

Combine like terms: 0 + 6100 = 6100
6100 + 170x + -600x2 = -6100 + -170x + 600x2 + 6100 + 170x + -600x2

Reorder the terms:
6100 + 170x + -600x2 = -6100 + 6100 + -170x + 170x + 600x2 + -600x2

Combine like terms: -6100 + 6100 = 0
6100 + 170x + -600x2 = 0 + -170x + 170x + 600x2 + -600x2
6100 + 170x + -600x2 = -170x + 170x + 600x2 + -600x2

Combine like terms: -170x + 170x = 0
6100 + 170x + -600x2 = 0 + 600x2 + -600x2
6100 + 170x + -600x2 = 600x2 + -600x2

Combine like terms: 600x2 + -600x2 = 0
6100 + 170x + -600x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(610 + 17x + -60x2) = 0

Factor a trinomial.
10((10 + -3x)(61 + 20x)) = 0

Ignore the factor 10.

Subproblem 1
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

Subproblem 2
Set the factor '(61 + 20x)' equal to zero and attempt to solve:

Simplifying
61 + 20x = 0

Solving
61 + 20x = 0

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

Add '-61' to each side of the equation.
61 + -61 + 20x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 20x = 0 + -61
20x = 0 + -61

Combine like terms: 0 + -61 = -61
20x = -61

Divide each side by '20'.
x = -3.05

Simplifying
x = -3.05
Solution
x = {3.333333333, -3.05}

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