40x^2+218x+255=0

Solution for 40x^2+218x+255=0 equation:

Simplifying
40x2 + 218x + 255 = 0

Reorder the terms:
255 + 218x + 40x2 = 0

Solving
255 + 218x + 40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + 4x)(17 + 10x) = 0

Subproblem 1
Set the factor '(15 + 4x)' equal to zero and attempt to solve:

Simplifying
15 + 4x = 0

Solving
15 + 4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 0 + -15
4x = 0 + -15

Combine like terms: 0 + -15 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75
Subproblem 2
Set the factor '(17 + 10x)' equal to zero and attempt to solve:

Simplifying
17 + 10x = 0

Solving
17 + 10x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 10x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 10x = 0 + -17
10x = 0 + -17

Combine like terms: 0 + -17 = -17
10x = -17

Divide each side by '10'.
x = -1.7

Simplifying
x = -1.7
Solution
x = {-3.75, -1.7}