3x^2+34x-2200=0

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Solution for 3x^2+34x-2200=0 equation: 


Simplifying
3x2 + 34x + -2200 = 0

Reorder the terms:
-2200 + 34x + 3x2 = 0

Solving
-2200 + 34x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-100 + -3x)(22 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-33.33333333, 22}

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