3x^2+14x+144=0

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Solution for 3x^2+14x+144=0 equation:


Simplifying
3x2 + 14x + 144 = 0

Reorder the terms:
144 + 14x + 3x2 = 0

Solving
144 + 14x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
48 + 4.666666667x + x2 = 0

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 4.666666667x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 4.666666667x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 4.666666667x + x2 = 0 + -48
4.666666667x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
4.666666667x + x2 = -48

The x term is 4.666666667x.  Take half its coefficient (2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
4.666666667x + 5.444444448 + x2 = -48 + 5.444444448

Reorder the terms:
5.444444448 + 4.666666667x + x2 = -48 + 5.444444448

Combine like terms: -48 + 5.444444448 = -42.555555552
5.444444448 + 4.666666667x + x2 = -42.555555552

Factor a perfect square on the left side:
(x + 2.333333334)(x + 2.333333334) = -42.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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