48x^2+32x+36=0

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Solution for 48x^2+32x+36=0 equation:


Simplifying
48x2 + 32x + 36 = 0

Reorder the terms:
36 + 32x + 48x2 = 0

Solving
36 + 32x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 8x + 12x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + 8x + 12x2)' equal to zero and attempt to solve:

Simplifying
9 + 8x + 12x2 = 0

Solving
9 + 8x + 12x2 = 0

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

Divide each side by '12'.
0.75 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.6666666667x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.6666666667x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.6666666667x + x2 = 0 + -0.75
0.6666666667x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.6666666667x + x2 = -0.75

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -0.75 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.75 + 0.1111111112

Combine like terms: -0.75 + 0.1111111112 = -0.6388888888
0.1111111112 + 0.6666666667x + x2 = -0.6388888888

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.6388888888

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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