3x(-3x+4)=10

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Solution for 3x(-3x+4)=10 equation: 


Simplifying
3x(-3x + 4) = 10

Reorder the terms:
3x(4 + -3x) = 10
(4 * 3x + -3x * 3x) = 10
(12x + -9x2) = 10

Solving
12x + -9x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 12x + -9x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 12x + -9x2 = 0

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

Divide each side by '-9'.
1.111111111 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.111111111' to each side of the equation.
1.111111111 + -1.333333333x + -1.111111111 + x2 = 0 + -1.111111111

Reorder the terms:
1.111111111 + -1.111111111 + -1.333333333x + x2 = 0 + -1.111111111

Combine like terms: 1.111111111 + -1.111111111 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -1.111111111
-1.333333333x + x2 = 0 + -1.111111111

Combine like terms: 0 + -1.111111111 = -1.111111111
-1.333333333x + x2 = -1.111111111

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -1.111111111 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -1.111111111 + 0.4444444442

Combine like terms: -1.111111111 + 0.4444444442 = -0.6666666668
0.4444444442 + -1.333333333x + x2 = -0.6666666668

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.6666666668

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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