(x-3)(1-2x)=9

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Solution for (x-3)(1-2x)=9 equation:


Simplifying
(x + -3)(1 + -2x) = 9

Reorder the terms:
(-3 + x)(1 + -2x) = 9

Multiply (-3 + x) * (1 + -2x)
(-3(1 + -2x) + x(1 + -2x)) = 9
((1 * -3 + -2x * -3) + x(1 + -2x)) = 9
((-3 + 6x) + x(1 + -2x)) = 9
(-3 + 6x + (1 * x + -2x * x)) = 9
(-3 + 6x + (1x + -2x2)) = 9

Combine like terms: 6x + 1x = 7x
(-3 + 7x + -2x2) = 9

Solving
-3 + 7x + -2x2 = 9

Solving for variable 'x'.

Reorder the terms:
-3 + -9 + 7x + -2x2 = 9 + -9

Combine like terms: -3 + -9 = -12
-12 + 7x + -2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-12 + 7x + -2x2 = 0

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

Divide each side by '-2'.
6 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5x + x2 = 0 + -6
-3.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.5x + x2 = -6

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -6 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + -3.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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