5*(x-3)*(x-3)+38=2

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Solution for 5*(x-3)*(x-3)+38=2 equation: 


Simplifying
5(x + -3)(x + -3) + 38 = 2

Reorder the terms:
5(-3 + x)(x + -3) + 38 = 2

Reorder the terms:
5(-3 + x)(-3 + x) + 38 = 2

Multiply (-3 + x) * (-3 + x)
5(-3(-3 + x) + x(-3 + x)) + 38 = 2
5((-3 * -3 + x * -3) + x(-3 + x)) + 38 = 2
5((9 + -3x) + x(-3 + x)) + 38 = 2
5(9 + -3x + (-3 * x + x * x)) + 38 = 2
5(9 + -3x + (-3x + x2)) + 38 = 2

Combine like terms: -3x + -3x = -6x
5(9 + -6x + x2) + 38 = 2
(9 * 5 + -6x * 5 + x2 * 5) + 38 = 2
(45 + -30x + 5x2) + 38 = 2

Reorder the terms:
45 + 38 + -30x + 5x2 = 2

Combine like terms: 45 + 38 = 83
83 + -30x + 5x2 = 2

Solving
83 + -30x + 5x2 = 2

Solving for variable 'x'.

Reorder the terms:
83 + -2 + -30x + 5x2 = 2 + -2

Combine like terms: 83 + -2 = 81
81 + -30x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
81 + -30x + 5x2 = 0

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

Divide each side by '5'.
16.2 + -6x + x2 = 0

Move the constant term to the right:

Add '-16.2' to each side of the equation.
16.2 + -6x + -16.2 + x2 = 0 + -16.2

Reorder the terms:
16.2 + -16.2 + -6x + x2 = 0 + -16.2

Combine like terms: 16.2 + -16.2 = 0.0
0.0 + -6x + x2 = 0 + -16.2
-6x + x2 = 0 + -16.2

Combine like terms: 0 + -16.2 = -16.2
-6x + x2 = -16.2

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -16.2 + 9

Reorder the terms:
9 + -6x + x2 = -16.2 + 9

Combine like terms: -16.2 + 9 = -7.2
9 + -6x + x2 = -7.2

Factor a perfect square on the left side:
(x + -3)(x + -3) = -7.2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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