2x-3x(5x-9)=20

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Solution for 2x-3x(5x-9)=20 equation:


Simplifying
2x + -3x(5x + -9) = 20

Reorder the terms:
2x + -3x(-9 + 5x) = 20
2x + (-9 * -3x + 5x * -3x) = 20
2x + (27x + -15x2) = 20

Combine like terms: 2x + 27x = 29x
29x + -15x2 = 20

Solving
29x + -15x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 29x + -15x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 29x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
1.333333333 + -1.933333333x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.933333333x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.933333333x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.933333333x + x2 = 0 + -1.333333333
-1.933333333x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.933333333x + x2 = -1.333333333

The x term is -1.933333333x.  Take half its coefficient (-0.9666666665).
Square it (0.9344444441) and add it to both sides.

Add '0.9344444441' to each side of the equation.
-1.933333333x + 0.9344444441 + x2 = -1.333333333 + 0.9344444441

Reorder the terms:
0.9344444441 + -1.933333333x + x2 = -1.333333333 + 0.9344444441

Combine like terms: -1.333333333 + 0.9344444441 = -0.3988888889
0.9344444441 + -1.933333333x + x2 = -0.3988888889

Factor a perfect square on the left side:
(x + -0.9666666665)(x + -0.9666666665) = -0.3988888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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