40=(2-3x)x

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Solution for 40=(2-3x)x equation:


Simplifying
40 = (2 + -3x) * x

Reorder the terms for easier multiplication:
40 = x(2 + -3x)
40 = (2 * x + -3x * x)
40 = (2x + -3x2)

Solving
40 = 2x + -3x2

Solving for variable 'x'.

Reorder the terms:
40 + -2x + 3x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
40 + -2x + 3x2 = 0 + -3x2 + 3x2
40 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
40 + -2x + 3x2 = 0

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

Divide each side by '3'.
13.33333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -0.6666666667x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -0.6666666667x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -0.6666666667x + x2 = 0 + -13.33333333
-0.6666666667x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-0.6666666667x + x2 = -13.33333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -13.33333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -13.33333333 + 0.1111111112

Combine like terms: -13.33333333 + 0.1111111112 = -13.2222222188
0.1111111112 + -0.6666666667x + x2 = -13.2222222188

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -13.2222222188

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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