3x(1-3x)=2(-4x+7)

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Solution for 3x(1-3x)=2(-4x+7) equation: 


Simplifying
3x(1 + -3x) = 2(-4x + 7)
(1 * 3x + -3x * 3x) = 2(-4x + 7)
(3x + -9x2) = 2(-4x + 7)

Reorder the terms:
3x + -9x2 = 2(7 + -4x)
3x + -9x2 = (7 * 2 + -4x * 2)
3x + -9x2 = (14 + -8x)

Solving
3x + -9x2 = 14 + -8x

Solving for variable 'x'.

Reorder the terms:
-14 + 3x + 8x + -9x2 = 14 + -8x + -14 + 8x

Combine like terms: 3x + 8x = 11x
-14 + 11x + -9x2 = 14 + -8x + -14 + 8x

Reorder the terms:
-14 + 11x + -9x2 = 14 + -14 + -8x + 8x

Combine like terms: 14 + -14 = 0
-14 + 11x + -9x2 = 0 + -8x + 8x
-14 + 11x + -9x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-14 + 11x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
1.555555556 + -1.222222222x + x2 = 0

Move the constant term to the right:

Add '-1.555555556' to each side of the equation.
1.555555556 + -1.222222222x + -1.555555556 + x2 = 0 + -1.555555556

Reorder the terms:
1.555555556 + -1.555555556 + -1.222222222x + x2 = 0 + -1.555555556

Combine like terms: 1.555555556 + -1.555555556 = 0.000000000
0.000000000 + -1.222222222x + x2 = 0 + -1.555555556
-1.222222222x + x2 = 0 + -1.555555556

Combine like terms: 0 + -1.555555556 = -1.555555556
-1.222222222x + x2 = -1.555555556

The x term is -1.222222222x.  Take half its coefficient (-0.611111111).
Square it (0.3734567900) and add it to both sides.

Add '0.3734567900' to each side of the equation.
-1.222222222x + 0.3734567900 + x2 = -1.555555556 + 0.3734567900

Reorder the terms:
0.3734567900 + -1.222222222x + x2 = -1.555555556 + 0.3734567900

Combine like terms: -1.555555556 + 0.3734567900 = -1.182098766
0.3734567900 + -1.222222222x + x2 = -1.182098766

Factor a perfect square on the left side:
(x + -0.611111111)(x + -0.611111111) = -1.182098766

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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