36x^2+48x+46=0

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Solution for 36x^2+48x+46=0 equation: 


Simplifying
36x2 + 48x + 46 = 0

Reorder the terms:
46 + 48x + 36x2 = 0

Solving
46 + 48x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(23 + 24x + 18x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(23 + 24x + 18x2)' equal to zero and attempt to solve:

Simplifying
23 + 24x + 18x2 = 0

Solving
23 + 24x + 18x2 = 0

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

Divide each side by '18'.
1.277777778 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.277777778' to each side of the equation.
1.277777778 + 1.333333333x + -1.277777778 + x2 = 0 + -1.277777778

Reorder the terms:
1.277777778 + -1.277777778 + 1.333333333x + x2 = 0 + -1.277777778

Combine like terms: 1.277777778 + -1.277777778 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -1.277777778
1.333333333x + x2 = 0 + -1.277777778

Combine like terms: 0 + -1.277777778 = -1.277777778
1.333333333x + x2 = -1.277777778

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -1.277777778 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -1.277777778 + 0.4444444442

Combine like terms: -1.277777778 + 0.4444444442 = -0.8333333338
0.4444444442 + 1.333333333x + x2 = -0.8333333338

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -0.8333333338

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.

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