8-3x(1-x)=1+4(x-2)

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Solution for 8-3x(1-x)=1+4(x-2) equation: 


Simplifying
8 + -3x(1 + -1x) = 1 + 4(x + -2)
8 + (1 * -3x + -1x * -3x) = 1 + 4(x + -2)
8 + (-3x + 3x2) = 1 + 4(x + -2)

Reorder the terms:
8 + -3x + 3x2 = 1 + 4(-2 + x)
8 + -3x + 3x2 = 1 + (-2 * 4 + x * 4)
8 + -3x + 3x2 = 1 + (-8 + 4x)

Combine like terms: 1 + -8 = -7
8 + -3x + 3x2 = -7 + 4x

Solving
8 + -3x + 3x2 = -7 + 4x

Solving for variable 'x'.

Reorder the terms:
8 + 7 + -3x + -4x + 3x2 = -7 + 4x + 7 + -4x

Combine like terms: 8 + 7 = 15
15 + -3x + -4x + 3x2 = -7 + 4x + 7 + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x + 3x2 = -7 + 4x + 7 + -4x

Reorder the terms:
15 + -7x + 3x2 = -7 + 7 + 4x + -4x

Combine like terms: -7 + 7 = 0
15 + -7x + 3x2 = 0 + 4x + -4x
15 + -7x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x + 3x2 = 0

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

Divide each side by '3'.
5 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2.333333333x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2.333333333x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2.333333333x + x2 = 0 + -5
-2.333333333x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2.333333333x + x2 = -5

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -5 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -5 + 1.361111112

Combine like terms: -5 + 1.361111112 = -3.638888888
1.361111112 + -2.333333333x + x2 = -3.638888888

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -3.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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