16x^2+48x+162=0

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Solution for 16x^2+48x+162=0 equation: 


Simplifying
16x2 + 48x + 162 = 0

Reorder the terms:
162 + 48x + 16x2 = 0

Solving
162 + 48x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(81 + 24x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(81 + 24x + 8x2)' equal to zero and attempt to solve:

Simplifying
81 + 24x + 8x2 = 0

Solving
81 + 24x + 8x2 = 0

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

Divide each side by '8'.
10.125 + 3x + x2 = 0

Move the constant term to the right:

Add '-10.125' to each side of the equation.
10.125 + 3x + -10.125 + x2 = 0 + -10.125

Reorder the terms:
10.125 + -10.125 + 3x + x2 = 0 + -10.125

Combine like terms: 10.125 + -10.125 = 0.000
0.000 + 3x + x2 = 0 + -10.125
3x + x2 = 0 + -10.125

Combine like terms: 0 + -10.125 = -10.125
3x + x2 = -10.125

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -10.125 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -10.125 + 2.25

Combine like terms: -10.125 + 2.25 = -7.875
2.25 + 3x + x2 = -7.875

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -7.875

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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