(x-3)(7-5x)+3-11x=

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Solution for (x-3)(7-5x)+3-11x= equation:


Simplifying
(x + -3)(7 + -5x) + 3 + -11x = 0

Reorder the terms:
(-3 + x)(7 + -5x) + 3 + -11x = 0

Multiply (-3 + x) * (7 + -5x)
(-3(7 + -5x) + x(7 + -5x)) + 3 + -11x = 0
((7 * -3 + -5x * -3) + x(7 + -5x)) + 3 + -11x = 0
((-21 + 15x) + x(7 + -5x)) + 3 + -11x = 0
(-21 + 15x + (7 * x + -5x * x)) + 3 + -11x = 0
(-21 + 15x + (7x + -5x2)) + 3 + -11x = 0

Combine like terms: 15x + 7x = 22x
(-21 + 22x + -5x2) + 3 + -11x = 0

Reorder the terms:
-21 + 3 + 22x + -11x + -5x2 = 0

Combine like terms: -21 + 3 = -18
-18 + 22x + -11x + -5x2 = 0

Combine like terms: 22x + -11x = 11x
-18 + 11x + -5x2 = 0

Solving
-18 + 11x + -5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
3.6 + -2.2x + x2 = 0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + -2.2x + -3.6 + x2 = 0 + -3.6

Reorder the terms:
3.6 + -3.6 + -2.2x + x2 = 0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -2.2x + x2 = 0 + -3.6
-2.2x + x2 = 0 + -3.6

Combine like terms: 0 + -3.6 = -3.6
-2.2x + x2 = -3.6

The x term is -2.2x.  Take half its coefficient (-1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
-2.2x + 1.21 + x2 = -3.6 + 1.21

Reorder the terms:
1.21 + -2.2x + x2 = -3.6 + 1.21

Combine like terms: -3.6 + 1.21 = -2.39
1.21 + -2.2x + x2 = -2.39

Factor a perfect square on the left side:
(x + -1.1)(x + -1.1) = -2.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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