35x^2+177x+220=0

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Solution for 35x^2+177x+220=0 equation: 


Simplifying
35x2 + 177x + 220 = 0

Reorder the terms:
220 + 177x + 35x2 = 0

Solving
220 + 177x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + 7x)(11 + 5x) = 0


Subproblem 1
Set the factor '(20 + 7x)' equal to zero and attempt to solve:

Simplifying
20 + 7x = 0

Solving
20 + 7x = 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 + 7x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 0 + -20
7x = 0 + -20

Combine like terms: 0 + -20 = -20
7x = -20

Divide each side by '7'.
x = -2.857142857

Simplifying
x = -2.857142857

Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2
Solution
x = {-2.857142857, -2.2}

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