(3x-1)(3x-1)=-24

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Solution for (3x-1)(3x-1)=-24 equation: 


Simplifying
(3x + -1)(3x + -1) = -24

Reorder the terms:
(-1 + 3x)(3x + -1) = -24

Reorder the terms:
(-1 + 3x)(-1 + 3x) = -24

Multiply (-1 + 3x) * (-1 + 3x)
(-1(-1 + 3x) + 3x * (-1 + 3x)) = -24
((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) = -24
((1 + -3x) + 3x * (-1 + 3x)) = -24
(1 + -3x + (-1 * 3x + 3x * 3x)) = -24
(1 + -3x + (-3x + 9x2)) = -24

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) = -24

Solving
1 + -6x + 9x2 = -24

Solving for variable 'x'.

Reorder the terms:
1 + 24 + -6x + 9x2 = -24 + 24

Combine like terms: 1 + 24 = 25
25 + -6x + 9x2 = -24 + 24

Combine like terms: -24 + 24 = 0
25 + -6x + 9x2 = 0

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

Divide each side by '9'.
2.777777778 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.777777778' to each side of the equation.
2.777777778 + -0.6666666667x + -2.777777778 + x2 = 0 + -2.777777778

Reorder the terms:
2.777777778 + -2.777777778 + -0.6666666667x + x2 = 0 + -2.777777778

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -2.777777778
-0.6666666667x + x2 = 0 + -2.777777778

Combine like terms: 0 + -2.777777778 = -2.777777778
-0.6666666667x + x2 = -2.777777778

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 = -2.777777778 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -2.777777778 + 0.1111111112

Combine like terms: -2.777777778 + 0.1111111112 = -2.6666666668
0.1111111112 + -0.6666666667x + x2 = -2.6666666668

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -2.6666666668

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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