-6x^2+5x=2

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


Simplifying
-6x2 + 5x = 2

Reorder the terms:
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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