(3x-4)(3x-4)+10=0

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Solution for (3x-4)(3x-4)+10=0 equation: 


Simplifying
(3x + -4)(3x + -4) + 10 = 0

Reorder the terms:
(-4 + 3x)(3x + -4) + 10 = 0

Reorder the terms:
(-4 + 3x)(-4 + 3x) + 10 = 0

Multiply (-4 + 3x) * (-4 + 3x)
(-4(-4 + 3x) + 3x * (-4 + 3x)) + 10 = 0
((-4 * -4 + 3x * -4) + 3x * (-4 + 3x)) + 10 = 0
((16 + -12x) + 3x * (-4 + 3x)) + 10 = 0
(16 + -12x + (-4 * 3x + 3x * 3x)) + 10 = 0
(16 + -12x + (-12x + 9x2)) + 10 = 0

Combine like terms: -12x + -12x = -24x
(16 + -24x + 9x2) + 10 = 0

Reorder the terms:
16 + 10 + -24x + 9x2 = 0

Combine like terms: 16 + 10 = 26
26 + -24x + 9x2 = 0

Solving
26 + -24x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
2.888888889 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.888888889' to each side of the equation.
2.888888889 + -2.666666667x + -2.888888889 + x2 = 0 + -2.888888889

Reorder the terms:
2.888888889 + -2.888888889 + -2.666666667x + x2 = 0 + -2.888888889

Combine like terms: 2.888888889 + -2.888888889 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -2.888888889
-2.666666667x + x2 = 0 + -2.888888889

Combine like terms: 0 + -2.888888889 = -2.888888889
-2.666666667x + x2 = -2.888888889

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -2.888888889 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -2.888888889 + 1.777777780

Combine like terms: -2.888888889 + 1.777777780 = -1.111111109
1.777777780 + -2.666666667x + x2 = -1.111111109

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -1.111111109

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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