(4x-3)(2x)-(x+5)(2x-5)=

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Solution for (4x-3)(2x)-(x+5)(2x-5)= equation: 


Simplifying
(4x + -3)(2x) + -1(x + 5)(2x + -5) = 0

Reorder the terms:
(-3 + 4x)(2x) + -1(x + 5)(2x + -5) = 0

Remove parenthesis around (2x)
(-3 + 4x) * 2x + -1(x + 5)(2x + -5) = 0

Reorder the terms for easier multiplication:
2x(-3 + 4x) + -1(x + 5)(2x + -5) = 0
(-3 * 2x + 4x * 2x) + -1(x + 5)(2x + -5) = 0
(-6x + 8x2) + -1(x + 5)(2x + -5) = 0

Reorder the terms:
-6x + 8x2 + -1(5 + x)(2x + -5) = 0

Reorder the terms:
-6x + 8x2 + -1(5 + x)(-5 + 2x) = 0

Multiply (5 + x) * (-5 + 2x)
-6x + 8x2 + -1(5(-5 + 2x) + x(-5 + 2x)) = 0
-6x + 8x2 + -1((-5 * 5 + 2x * 5) + x(-5 + 2x)) = 0
-6x + 8x2 + -1((-25 + 10x) + x(-5 + 2x)) = 0
-6x + 8x2 + -1(-25 + 10x + (-5 * x + 2x * x)) = 0
-6x + 8x2 + -1(-25 + 10x + (-5x + 2x2)) = 0

Combine like terms: 10x + -5x = 5x
-6x + 8x2 + -1(-25 + 5x + 2x2) = 0
-6x + 8x2 + (-25 * -1 + 5x * -1 + 2x2 * -1) = 0
-6x + 8x2 + (25 + -5x + -2x2) = 0

Reorder the terms:
25 + -6x + -5x + 8x2 + -2x2 = 0

Combine like terms: -6x + -5x = -11x
25 + -11x + 8x2 + -2x2 = 0

Combine like terms: 8x2 + -2x2 = 6x2
25 + -11x + 6x2 = 0

Solving
25 + -11x + 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'.
4.166666667 + -1.833333333x + x2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -1.833333333x + -4.166666667 + x2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -1.833333333x + x2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -1.833333333x + x2 = 0 + -4.166666667
-1.833333333x + x2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-1.833333333x + x2 = -4.166666667

The x term is -1.833333333x.  Take half its coefficient (-0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
-1.833333333x + 0.8402777775 + x2 = -4.166666667 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333x + x2 = -4.166666667 + 0.8402777775

Combine like terms: -4.166666667 + 0.8402777775 = -3.3263888895
0.8402777775 + -1.833333333x + x2 = -3.3263888895

Factor a perfect square on the left side:
(x + -0.9166666665)(x + -0.9166666665) = -3.3263888895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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