-4x(1-3)-(2x+2)x=5

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Solution for -4x(1-3)-(2x+2)x=5 equation:


Simplifying
-4x(1 + -3) + -1(2x + 2) * x = 5

Combine like terms: 1 + -3 = -2
-4x(-2) + -1(2x + 2) * x = 5

Reorder the terms for easier multiplication:
-4 * -2x + -1(2x + 2) * x = 5

Multiply -4 * -2
8x + -1(2x + 2) * x = 5

Reorder the terms:
8x + -1(2 + 2x) * x = 5

Reorder the terms for easier multiplication:
8x + -1x(2 + 2x) = 5
8x + (2 * -1x + 2x * -1x) = 5
8x + (-2x + -2x2) = 5

Combine like terms: 8x + -2x = 6x
6x + -2x2 = 5

Solving
6x + -2x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 6x + -2x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 6x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
2.5 + -3x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -3x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -3x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -3x + x2 = 0 + -2.5
-3x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-3x + x2 = -2.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -2.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -2.5 + 2.25

Combine like terms: -2.5 + 2.25 = -0.25
2.25 + -3x + x2 = -0.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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