-6x^2=-9x+7

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Solution for -6x^2=-9x+7 equation: 


Simplifying
-6x2 = -9x + 7

Reorder the terms:
-6x2 = 7 + -9x

Solving
-6x2 = 7 + -9x

Solving for variable 'x'.

Reorder the terms:
-7 + 9x + -6x2 = 7 + -9x + -7 + 9x

Reorder the terms:
-7 + 9x + -6x2 = 7 + -7 + -9x + 9x

Combine like terms: 7 + -7 = 0
-7 + 9x + -6x2 = 0 + -9x + 9x
-7 + 9x + -6x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-7 + 9x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.166666667 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.5x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -1.5x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -1.5x + x2 = 0 + -1.166666667
-1.5x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-1.5x + x2 = -1.166666667

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1.166666667 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1.166666667 + 0.5625

Combine like terms: -1.166666667 + 0.5625 = -0.604166667
0.5625 + -1.5x + x2 = -0.604166667

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.604166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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