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

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


Simplifying
3x(5 + -2x) = 7 + x + 2
(5 * 3x + -2x * 3x) = 7 + x + 2
(15x + -6x2) = 7 + x + 2

Reorder the terms:
15x + -6x2 = 7 + 2 + x

Combine like terms: 7 + 2 = 9
15x + -6x2 = 9 + x

Solving
15x + -6x2 = 9 + x

Solving for variable 'x'.

Reorder the terms:
-9 + 15x + -1x + -6x2 = 9 + x + -9 + -1x

Combine like terms: 15x + -1x = 14x
-9 + 14x + -6x2 = 9 + x + -9 + -1x

Reorder the terms:
-9 + 14x + -6x2 = 9 + -9 + x + -1x

Combine like terms: 9 + -9 = 0
-9 + 14x + -6x2 = 0 + x + -1x
-9 + 14x + -6x2 = x + -1x

Combine like terms: x + -1x = 0
-9 + 14x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.5 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2.333333333x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2.333333333x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.333333333x + x2 = 0 + -1.5
-2.333333333x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2.333333333x + x2 = -1.5

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 = -1.5 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -1.5 + 1.361111112

Combine like terms: -1.5 + 1.361111112 = -0.138888888
1.361111112 + -2.333333333x + x2 = -0.138888888

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -0.138888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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