-6x^2=-5x+3

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Solution for -6x^2=-5x+3 equation: 


Simplifying
-6x2 = -5x + 3

Reorder the terms:
-6x2 = 3 + -5x

Solving
-6x2 = 3 + -5x

Solving for variable 'x'.

Reorder the terms:
-3 + 5x + -6x2 = 3 + -5x + -3 + 5x

Reorder the terms:
-3 + 5x + -6x2 = 3 + -3 + -5x + 5x

Combine like terms: 3 + -3 = 0
-3 + 5x + -6x2 = 0 + -5x + 5x
-3 + 5x + -6x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 5x + -6x2 = 0

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

Divide each side by '-6'.
0.5 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.8333333333x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.8333333333x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.8333333333x + x2 = 0 + -0.5
-0.8333333333x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.8333333333x + x2 = -0.5

The x term is -0.8333333333x.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333x + 0.1736111111 + x2 = -0.5 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -0.5 + 0.1736111111

Combine like terms: -0.5 + 0.1736111111 = -0.3263888889
0.1736111111 + -0.8333333333x + x2 = -0.3263888889

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.3263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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