-2.6x(x-2)+3x=12

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Solution for -2.6x(x-2)+3x=12 equation: 


Simplifying
-2.6x(x + -2) + 3x = 12

Reorder the terms:
-2.6x(-2 + x) + 3x = 12
(-2 * -2.6x + x * -2.6x) + 3x = 12
(5.2x + -2.6x2) + 3x = 12

Reorder the terms:
5.2x + 3x + -2.6x2 = 12

Combine like terms: 5.2x + 3x = 8.2x
8.2x + -2.6x2 = 12

Solving
8.2x + -2.6x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 8.2x + -2.6x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 8.2x + -2.6x2 = 0

Begin completing the square.  Divide all terms by
-2.6 the coefficient of the squared term: 

Divide each side by '-2.6'.
4.615384615 + -3.153846154x + x2 = 0

Move the constant term to the right:

Add '-4.615384615' to each side of the equation.
4.615384615 + -3.153846154x + -4.615384615 + x2 = 0 + -4.615384615

Reorder the terms:
4.615384615 + -4.615384615 + -3.153846154x + x2 = 0 + -4.615384615

Combine like terms: 4.615384615 + -4.615384615 = 0.000000000
0.000000000 + -3.153846154x + x2 = 0 + -4.615384615
-3.153846154x + x2 = 0 + -4.615384615

Combine like terms: 0 + -4.615384615 = -4.615384615
-3.153846154x + x2 = -4.615384615

The x term is -3.153846154x.  Take half its coefficient (-1.576923077).
Square it (2.486686391) and add it to both sides.

Add '2.486686391' to each side of the equation.
-3.153846154x + 2.486686391 + x2 = -4.615384615 + 2.486686391

Reorder the terms:
2.486686391 + -3.153846154x + x2 = -4.615384615 + 2.486686391

Combine like terms: -4.615384615 + 2.486686391 = -2.128698224
2.486686391 + -3.153846154x + x2 = -2.128698224

Factor a perfect square on the left side:
(x + -1.576923077)(x + -1.576923077) = -2.128698224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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