9x^2-42x+49=-4

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Solution for 9x^2-42x+49=-4 equation: 


Simplifying
9x2 + -42x + 49 = -4

Reorder the terms:
49 + -42x + 9x2 = -4

Solving
49 + -42x + 9x2 = -4

Solving for variable 'x'.

Reorder the terms:
49 + 4 + -42x + 9x2 = -4 + 4

Combine like terms: 49 + 4 = 53
53 + -42x + 9x2 = -4 + 4

Combine like terms: -4 + 4 = 0
53 + -42x + 9x2 = 0

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

Divide each side by '9'.
5.888888889 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.888888889' to each side of the equation.
5.888888889 + -4.666666667x + -5.888888889 + x2 = 0 + -5.888888889

Reorder the terms:
5.888888889 + -5.888888889 + -4.666666667x + x2 = 0 + -5.888888889

Combine like terms: 5.888888889 + -5.888888889 = 0.000000000
0.000000000 + -4.666666667x + x2 = 0 + -5.888888889
-4.666666667x + x2 = 0 + -5.888888889

Combine like terms: 0 + -5.888888889 = -5.888888889
-4.666666667x + x2 = -5.888888889

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 = -5.888888889 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -5.888888889 + 5.444444448

Combine like terms: -5.888888889 + 5.444444448 = -0.444444441
5.444444448 + -4.666666667x + x2 = -0.444444441

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = -0.444444441

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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