3(X-1)(X-1)+10=0

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Solution for 3(X-1)(X-1)+10=0 equation: 


Simplifying
3(X + -1)(X + -1) + 10 = 0

Reorder the terms:
3(-1 + X)(X + -1) + 10 = 0

Reorder the terms:
3(-1 + X)(-1 + X) + 10 = 0

Multiply (-1 + X) * (-1 + X)
3(-1(-1 + X) + X(-1 + X)) + 10 = 0
3((-1 * -1 + X * -1) + X(-1 + X)) + 10 = 0
3((1 + -1X) + X(-1 + X)) + 10 = 0
3(1 + -1X + (-1 * X + X * X)) + 10 = 0
3(1 + -1X + (-1X + X2)) + 10 = 0

Combine like terms: -1X + -1X = -2X
3(1 + -2X + X2) + 10 = 0
(1 * 3 + -2X * 3 + X2 * 3) + 10 = 0
(3 + -6X + 3X2) + 10 = 0

Reorder the terms:
3 + 10 + -6X + 3X2 = 0

Combine like terms: 3 + 10 = 13
13 + -6X + 3X2 = 0

Solving
13 + -6X + 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'.
4.333333333 + -2X + X2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -2X + -4.333333333 + X2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -2X + X2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -2X + X2 = 0 + -4.333333333
-2X + X2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-2X + X2 = -4.333333333

The X term is -2X.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2X + 1 + X2 = -4.333333333 + 1

Reorder the terms:
1 + -2X + X2 = -4.333333333 + 1

Combine like terms: -4.333333333 + 1 = -3.333333333
1 + -2X + X2 = -3.333333333

Factor a perfect square on the left side:
(X + -1)(X + -1) = -3.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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