45x^2+380x+160=0

Solution for 45x^2+380x+160=0 equation:

Simplifying
45x2 + 380x + 160 = 0

Reorder the terms:
160 + 380x + 45x2 = 0

Solving
160 + 380x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(32 + 76x + 9x2) = 0

Factor a trinomial.
5((8 + x)(4 + 9x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve:

Simplifying
4 + 9x = 0

Solving
4 + 9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 0 + -4
9x = 0 + -4

Combine like terms: 0 + -4 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444
Solution
x = {-8, -0.4444444444}