40x^2+26x+144=0

Solution for 40x^2+26x+144=0 equation:

Simplifying
40x2 + 26x + 144 = 0

Reorder the terms:
144 + 26x + 40x2 = 0

Solving
144 + 26x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + 13x + 20x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(72 + 13x + 20x2)' equal to zero and attempt to solve:

Simplifying
72 + 13x + 20x2 = 0

Solving
72 + 13x + 20x2 = 0

Begin completing the square.  Divide all terms by
20 the coefficient of the squared term: 

Divide each side by '20'.
3.6 + 0.65x + x2 = 0.0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + 0.65x + -3.6 + x2 = 0.0 + -3.6

Reorder the terms:
3.6 + -3.6 + 0.65x + x2 = 0.0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 0.65x + x2 = 0.0 + -3.6
0.65x + x2 = 0.0 + -3.6

Combine like terms: 0.0 + -3.6 = -3.6
0.65x + x2 = -3.6

The x term is 0.65x.  Take half its coefficient (0.325).
Square it (0.105625) and add it to both sides.

Add '0.105625' to each side of the equation.
0.65x + 0.105625 + x2 = -3.6 + 0.105625

Reorder the terms:
0.105625 + 0.65x + x2 = -3.6 + 0.105625

Combine like terms: -3.6 + 0.105625 = -3.494375
0.105625 + 0.65x + x2 = -3.494375

Factor a perfect square on the left side:
(x + 0.325)(x + 0.325) = -3.494375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.