6x^2=5x-4

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Solution for 6x^2=5x-4 equation: 


Simplifying
6x2 = 5x + -4

Reorder the terms:
6x2 = -4 + 5x

Solving
6x2 = -4 + 5x

Solving for variable 'x'.

Reorder the terms:
4 + -5x + 6x2 = -4 + 5x + 4 + -5x

Reorder the terms:
4 + -5x + 6x2 = -4 + 4 + 5x + -5x

Combine like terms: -4 + 4 = 0
4 + -5x + 6x2 = 0 + 5x + -5x
4 + -5x + 6x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -5x + 6x2 = 0

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

Divide each side by '6'.
0.6666666667 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.8333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.8333333333x + x2 = 0 + -0.6666666667
-0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.8333333333x + x2 = -0.6666666667

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 = -0.6666666667 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -0.6666666667 + 0.1736111111

Combine like terms: -0.6666666667 + 0.1736111111 = -0.4930555556
0.1736111111 + -0.8333333333x + x2 = -0.4930555556

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.4930555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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