6x^2-5x=-4+2

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


Simplifying
6x2 + -5x = -4 + 2

Reorder the terms:
-5x + 6x2 = -4 + 2

Combine like terms: -4 + 2 = -2
-5x + 6x2 = -2

Solving
-5x + 6x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -5x + 6x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -5x + 6x2 = 0

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

Divide each side by '6'.
0.3333333333 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.8333333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.8333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.8333333333x + x2 = 0 + -0.3333333333
-0.8333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.8333333333x + x2 = -0.3333333333

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 = -0.3333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -0.3333333333 + 0.1736111111

Combine like terms: -0.3333333333 + 0.1736111111 = -0.1597222222
0.1736111111 + -0.8333333333x + x2 = -0.1597222222

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.1597222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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