32+3x(x-4)=8x-40

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Solution for 32+3x(x-4)=8x-40 equation: 


Simplifying
32 + 3x(x + -4) = 8x + -40

Reorder the terms:
32 + 3x(-4 + x) = 8x + -40
32 + (-4 * 3x + x * 3x) = 8x + -40
32 + (-12x + 3x2) = 8x + -40

Reorder the terms:
32 + -12x + 3x2 = -40 + 8x

Solving
32 + -12x + 3x2 = -40 + 8x

Solving for variable 'x'.

Reorder the terms:
32 + 40 + -12x + -8x + 3x2 = -40 + 8x + 40 + -8x

Combine like terms: 32 + 40 = 72
72 + -12x + -8x + 3x2 = -40 + 8x + 40 + -8x

Combine like terms: -12x + -8x = -20x
72 + -20x + 3x2 = -40 + 8x + 40 + -8x

Reorder the terms:
72 + -20x + 3x2 = -40 + 40 + 8x + -8x

Combine like terms: -40 + 40 = 0
72 + -20x + 3x2 = 0 + 8x + -8x
72 + -20x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
72 + -20x + 3x2 = 0

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

Divide each side by '3'.
24 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -6.666666667x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -6.666666667x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -6.666666667x + x2 = 0 + -24
-6.666666667x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-6.666666667x + x2 = -24

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -24 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -24 + 11.11111112

Combine like terms: -24 + 11.11111112 = -12.88888888
11.11111112 + -6.666666667x + x2 = -12.88888888

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = -12.88888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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