-6x^2=-5x+8

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Solution for -6x^2=-5x+8 equation: 


Simplifying
-6x2 = -5x + 8

Reorder the terms:
-6x2 = 8 + -5x

Solving
-6x2 = 8 + -5x

Solving for variable 'x'.

Reorder the terms:
-8 + 5x + -6x2 = 8 + -5x + -8 + 5x

Reorder the terms:
-8 + 5x + -6x2 = 8 + -8 + -5x + 5x

Combine like terms: 8 + -8 = 0
-8 + 5x + -6x2 = 0 + -5x + 5x
-8 + 5x + -6x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 5x + -6x2 = 0

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

Divide each side by '-6'.
1.333333333 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.8333333333x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.8333333333x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.8333333333x + x2 = 0 + -1.333333333
-0.8333333333x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.8333333333x + x2 = -1.333333333

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 = -1.333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -1.333333333 + 0.1736111111

Combine like terms: -1.333333333 + 0.1736111111 = -1.1597222219
0.1736111111 + -0.8333333333x + x2 = -1.1597222219

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -1.1597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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