(7-3x)*x=40

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Solution for (7-3x)*x=40 equation: 


Simplifying
(7 + -3x) * x = 40

Reorder the terms for easier multiplication:
x(7 + -3x) = 40
(7 * x + -3x * x) = 40
(7x + -3x2) = 40

Solving
7x + -3x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + 7x + -3x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 7x + -3x2 = 0

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

Divide each side by '-3'.
13.33333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -2.333333333x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -2.333333333x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -2.333333333x + x2 = 0 + -13.33333333
-2.333333333x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-2.333333333x + x2 = -13.33333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -13.33333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -13.33333333 + 1.361111112

Combine like terms: -13.33333333 + 1.361111112 = -11.972222218
1.361111112 + -2.333333333x + x2 = -11.972222218

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -11.972222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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