-9x^2+12x=7

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Solution for -9x^2+12x=7 equation:


Simplifying
-9x2 + 12x = 7

Reorder the terms:
12x + -9x2 = 7

Solving
12x + -9x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + 12x + -9x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 12x + -9x2 = 0

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

Divide each side by '-9'.
0.7777777778 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.7777777778' to each side of the equation.
0.7777777778 + -1.333333333x + -0.7777777778 + x2 = 0 + -0.7777777778

Reorder the terms:
0.7777777778 + -0.7777777778 + -1.333333333x + x2 = 0 + -0.7777777778

Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000
0.0000000000 + -1.333333333x + x2 = 0 + -0.7777777778
-1.333333333x + x2 = 0 + -0.7777777778

Combine like terms: 0 + -0.7777777778 = -0.7777777778
-1.333333333x + x2 = -0.7777777778

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 = -0.7777777778 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -0.7777777778 + 0.4444444442

Combine like terms: -0.7777777778 + 0.4444444442 = -0.3333333336
0.4444444442 + -1.333333333x + x2 = -0.3333333336

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.3333333336

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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