14-(x-7x+3)(x-1)=

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Solution for 14-(x-7x+3)(x-1)= equation:


Simplifying
14 + -1(x + -7x + 3)(x + -1) = 0

Reorder the terms:
14 + -1(3 + x + -7x)(x + -1) = 0

Combine like terms: x + -7x = -6x
14 + -1(3 + -6x)(x + -1) = 0

Reorder the terms:
14 + -1(3 + -6x)(-1 + x) = 0

Multiply (3 + -6x) * (-1 + x)
14 + -1(3(-1 + x) + -6x * (-1 + x)) = 0
14 + -1((-1 * 3 + x * 3) + -6x * (-1 + x)) = 0
14 + -1((-3 + 3x) + -6x * (-1 + x)) = 0
14 + -1(-3 + 3x + (-1 * -6x + x * -6x)) = 0
14 + -1(-3 + 3x + (6x + -6x2)) = 0

Combine like terms: 3x + 6x = 9x
14 + -1(-3 + 9x + -6x2) = 0
14 + (-3 * -1 + 9x * -1 + -6x2 * -1) = 0
14 + (3 + -9x + 6x2) = 0

Combine like terms: 14 + 3 = 17
17 + -9x + 6x2 = 0

Solving
17 + -9x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.833333333 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2.833333333' to each side of the equation.
2.833333333 + -1.5x + -2.833333333 + x2 = 0 + -2.833333333

Reorder the terms:
2.833333333 + -2.833333333 + -1.5x + x2 = 0 + -2.833333333

Combine like terms: 2.833333333 + -2.833333333 = 0.000000000
0.000000000 + -1.5x + x2 = 0 + -2.833333333
-1.5x + x2 = 0 + -2.833333333

Combine like terms: 0 + -2.833333333 = -2.833333333
-1.5x + x2 = -2.833333333

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -2.833333333 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2.833333333 + 0.5625

Combine like terms: -2.833333333 + 0.5625 = -2.270833333
0.5625 + -1.5x + x2 = -2.270833333

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -2.270833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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