-0.25(x-12)0.5(x+2)=x+4

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Solution for -0.25(x-12)0.5(x+2)=x+4 equation: 


Simplifying
-0.25(x + -12) * 0.5(x + 2) = x + 4

Reorder the terms:
-0.25(-12 + x) * 0.5(x + 2) = x + 4

Reorder the terms:
-0.25(-12 + x) * 0.5(2 + x) = x + 4

Reorder the terms for easier multiplication:
-0.25 * 0.5(-12 + x)(2 + x) = x + 4

Multiply -0.25 * 0.5
-0.125(-12 + x)(2 + x) = x + 4

Multiply (-12 + x) * (2 + x)
-0.125(-12(2 + x) + x(2 + x)) = x + 4
-0.125((2 * -12 + x * -12) + x(2 + x)) = x + 4
-0.125((-24 + -12x) + x(2 + x)) = x + 4
-0.125(-24 + -12x + (2 * x + x * x)) = x + 4
-0.125(-24 + -12x + (2x + x2)) = x + 4

Combine like terms: -12x + 2x = -10x
-0.125(-24 + -10x + x2) = x + 4
(-24 * -0.125 + -10x * -0.125 + x2 * -0.125) = x + 4
(3 + 1.25x + -0.125x2) = x + 4

Reorder the terms:
3 + 1.25x + -0.125x2 = 4 + x

Solving
3 + 1.25x + -0.125x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
3 + -4 + 1.25x + -1x + -0.125x2 = 4 + x + -4 + -1x

Combine like terms: 3 + -4 = -1
-1 + 1.25x + -1x + -0.125x2 = 4 + x + -4 + -1x

Combine like terms: 1.25x + -1x = 0.25x
-1 + 0.25x + -0.125x2 = 4 + x + -4 + -1x

Reorder the terms:
-1 + 0.25x + -0.125x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
-1 + 0.25x + -0.125x2 = 0 + x + -1x
-1 + 0.25x + -0.125x2 = x + -1x

Combine like terms: x + -1x = 0
-1 + 0.25x + -0.125x2 = 0

Begin completing the square.  Divide all terms by
-0.125 the coefficient of the squared term: 

Divide each side by '-0.125'.
8 + -2x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + x2 = 0 + -8
-2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x + x2 = -8

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -8 + 1

Reorder the terms:
1 + -2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2x + x2 = -7

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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