150+36x+4x^2=0

Solution for 150+36x+4x^2=0 equation:

Simplifying
150 + 36x + 4x2 = 0

Solving
150 + 36x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + 18x + 2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(75 + 18x + 2x2)' equal to zero and attempt to solve:

Simplifying
75 + 18x + 2x2 = 0

Solving
75 + 18x + 2x2 = 0

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

Divide each side by '2'.
37.5 + 9x + x2 = 0

Move the constant term to the right:

Add '-37.5' to each side of the equation.
37.5 + 9x + -37.5 + x2 = 0 + -37.5

Reorder the terms:
37.5 + -37.5 + 9x + x2 = 0 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + 9x + x2 = 0 + -37.5
9x + x2 = 0 + -37.5

Combine like terms: 0 + -37.5 = -37.5
9x + x2 = -37.5

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -37.5 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -37.5 + 20.25

Combine like terms: -37.5 + 20.25 = -17.25
20.25 + 9x + x2 = -17.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -17.25

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.