-3x(2x-3)=25-8x

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Solution for -3x(2x-3)=25-8x equation: 


Simplifying
-3x(2x + -3) = 25 + -8x

Reorder the terms:
-3x(-3 + 2x) = 25 + -8x
(-3 * -3x + 2x * -3x) = 25 + -8x
(9x + -6x2) = 25 + -8x

Solving
9x + -6x2 = 25 + -8x

Solving for variable 'x'.

Reorder the terms:
-25 + 9x + 8x + -6x2 = 25 + -8x + -25 + 8x

Combine like terms: 9x + 8x = 17x
-25 + 17x + -6x2 = 25 + -8x + -25 + 8x

Reorder the terms:
-25 + 17x + -6x2 = 25 + -25 + -8x + 8x

Combine like terms: 25 + -25 = 0
-25 + 17x + -6x2 = 0 + -8x + 8x
-25 + 17x + -6x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-25 + 17x + -6x2 = 0

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

Divide each side by '-6'.
4.166666667 + -2.833333333x + x2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -2.833333333x + -4.166666667 + x2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -2.833333333x + x2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -2.833333333x + x2 = 0 + -4.166666667
-2.833333333x + x2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-2.833333333x + x2 = -4.166666667

The x term is -2.833333333x.  Take half its coefficient (-1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
-2.833333333x + 2.006944445 + x2 = -4.166666667 + 2.006944445

Reorder the terms:
2.006944445 + -2.833333333x + x2 = -4.166666667 + 2.006944445

Combine like terms: -4.166666667 + 2.006944445 = -2.159722222
2.006944445 + -2.833333333x + x2 = -2.159722222

Factor a perfect square on the left side:
(x + -1.416666667)(x + -1.416666667) = -2.159722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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