36+3(x-4)2x+7=

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Solution for 36+3(x-4)2x+7= equation: 


Simplifying
36 + 3(x + -4) * 2x + 7 = 0

Reorder the terms:
36 + 3(-4 + x) * 2x + 7 = 0

Reorder the terms for easier multiplication:
36 + 3 * 2x(-4 + x) + 7 = 0

Multiply 3 * 2
36 + 6x(-4 + x) + 7 = 0
36 + (-4 * 6x + x * 6x) + 7 = 0
36 + (-24x + 6x2) + 7 = 0

Reorder the terms:
36 + 7 + -24x + 6x2 = 0

Combine like terms: 36 + 7 = 43
43 + -24x + 6x2 = 0

Solving
43 + -24x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
7.166666667 + -4x + x2 = 0

Move the constant term to the right:

Add '-7.166666667' to each side of the equation.
7.166666667 + -4x + -7.166666667 + x2 = 0 + -7.166666667

Reorder the terms:
7.166666667 + -7.166666667 + -4x + x2 = 0 + -7.166666667

Combine like terms: 7.166666667 + -7.166666667 = 0.000000000
0.000000000 + -4x + x2 = 0 + -7.166666667
-4x + x2 = 0 + -7.166666667

Combine like terms: 0 + -7.166666667 = -7.166666667
-4x + x2 = -7.166666667

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -7.166666667 + 4

Reorder the terms:
4 + -4x + x2 = -7.166666667 + 4

Combine like terms: -7.166666667 + 4 = -3.166666667
4 + -4x + x2 = -3.166666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = -3.166666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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