-4x(4x-4)-x=-2(x-5)

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


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

Reorder the terms:
-4x(-4 + 4x) + -1x = -2(x + -5)
(-4 * -4x + 4x * -4x) + -1x = -2(x + -5)
(16x + -16x2) + -1x = -2(x + -5)

Reorder the terms:
16x + -1x + -16x2 = -2(x + -5)

Combine like terms: 16x + -1x = 15x
15x + -16x2 = -2(x + -5)

Reorder the terms:
15x + -16x2 = -2(-5 + x)
15x + -16x2 = (-5 * -2 + x * -2)
15x + -16x2 = (10 + -2x)

Solving
15x + -16x2 = 10 + -2x

Solving for variable 'x'.

Reorder the terms:
-10 + 15x + 2x + -16x2 = 10 + -2x + -10 + 2x

Combine like terms: 15x + 2x = 17x
-10 + 17x + -16x2 = 10 + -2x + -10 + 2x

Reorder the terms:
-10 + 17x + -16x2 = 10 + -10 + -2x + 2x

Combine like terms: 10 + -10 = 0
-10 + 17x + -16x2 = 0 + -2x + 2x
-10 + 17x + -16x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 17x + -16x2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.625 + -1.0625x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + -1.0625x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + -1.0625x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -1.0625x + x2 = 0 + -0.625
-1.0625x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
-1.0625x + x2 = -0.625

The x term is -1.0625x.  Take half its coefficient (-0.53125).
Square it (0.2822265625) and add it to both sides.

Add '0.2822265625' to each side of the equation.
-1.0625x + 0.2822265625 + x2 = -0.625 + 0.2822265625

Reorder the terms:
0.2822265625 + -1.0625x + x2 = -0.625 + 0.2822265625

Combine like terms: -0.625 + 0.2822265625 = -0.3427734375
0.2822265625 + -1.0625x + x2 = -0.3427734375

Factor a perfect square on the left side:
(x + -0.53125)(x + -0.53125) = -0.3427734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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