40X^2+131X+105=0

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Solution for 40X^2+131X+105=0 equation: 


Simplifying
40X2 + 131X + 105 = 0

Reorder the terms:
105 + 131X + 40X2 = 0

Solving
105 + 131X + 40X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(15 + 8X)(7 + 5X) = 0


Subproblem 1
Set the factor '(15 + 8X)' equal to zero and attempt to solve:

Simplifying
15 + 8X = 0

Solving
15 + 8X = 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 + 8X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8X = 0 + -15
8X = 0 + -15

Combine like terms: 0 + -15 = -15
8X = -15

Divide each side by '8'.
X = -1.875

Simplifying
X = -1.875

Subproblem 2
Set the factor '(7 + 5X)' equal to zero and attempt to solve:

Simplifying
7 + 5X = 0

Solving
7 + 5X = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5X = 0 + -7
5X = 0 + -7

Combine like terms: 0 + -7 = -7
5X = -7

Divide each side by '5'.
X = -1.4

Simplifying
X = -1.4
Solution
X = {-1.875, -1.4}

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