3x(2-x)-5(7-2x)=10-4x+5

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Solution for 3x(2-x)-5(7-2x)=10-4x+5 equation: 


Simplifying
3x(2 + -1x) + -5(7 + -2x) = 10 + -4x + 5
(2 * 3x + -1x * 3x) + -5(7 + -2x) = 10 + -4x + 5
(6x + -3x2) + -5(7 + -2x) = 10 + -4x + 5
6x + -3x2 + (7 * -5 + -2x * -5) = 10 + -4x + 5
6x + -3x2 + (-35 + 10x) = 10 + -4x + 5

Reorder the terms:
-35 + 6x + 10x + -3x2 = 10 + -4x + 5

Combine like terms: 6x + 10x = 16x
-35 + 16x + -3x2 = 10 + -4x + 5

Reorder the terms:
-35 + 16x + -3x2 = 10 + 5 + -4x

Combine like terms: 10 + 5 = 15
-35 + 16x + -3x2 = 15 + -4x

Solving
-35 + 16x + -3x2 = 15 + -4x

Solving for variable 'x'.

Reorder the terms:
-35 + -15 + 16x + 4x + -3x2 = 15 + -4x + -15 + 4x

Combine like terms: -35 + -15 = -50
-50 + 16x + 4x + -3x2 = 15 + -4x + -15 + 4x

Combine like terms: 16x + 4x = 20x
-50 + 20x + -3x2 = 15 + -4x + -15 + 4x

Reorder the terms:
-50 + 20x + -3x2 = 15 + -15 + -4x + 4x

Combine like terms: 15 + -15 = 0
-50 + 20x + -3x2 = 0 + -4x + 4x
-50 + 20x + -3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-50 + 20x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
16.66666667 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -6.666666667x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -6.666666667x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -6.666666667x + x2 = 0 + -16.66666667
-6.666666667x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-6.666666667x + x2 = -16.66666667

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -16.66666667 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -16.66666667 + 11.11111112

Combine like terms: -16.66666667 + 11.11111112 = -5.55555555
11.11111112 + -6.666666667x + x2 = -5.55555555

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = -5.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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