-6x^2+5=-4x+8

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Solution for -6x^2+5=-4x+8 equation: 


Simplifying
-6x2 + 5 = -4x + 8

Reorder the terms:
5 + -6x2 = -4x + 8

Reorder the terms:
5 + -6x2 = 8 + -4x

Solving
5 + -6x2 = 8 + -4x

Solving for variable 'x'.

Reorder the terms:
5 + -8 + 4x + -6x2 = 8 + -4x + -8 + 4x

Combine like terms: 5 + -8 = -3
-3 + 4x + -6x2 = 8 + -4x + -8 + 4x

Reorder the terms:
-3 + 4x + -6x2 = 8 + -8 + -4x + 4x

Combine like terms: 8 + -8 = 0
-3 + 4x + -6x2 = 0 + -4x + 4x
-3 + 4x + -6x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 4x + -6x2 = 0

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

Divide each side by '-6'.
0.5 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.6666666667x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.6666666667x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.6666666667x + x2 = 0 + -0.5
-0.6666666667x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.6666666667x + x2 = -0.5

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.5 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.5 + 0.1111111112

Combine like terms: -0.5 + 0.1111111112 = -0.3888888888
0.1111111112 + -0.6666666667x + x2 = -0.3888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.3888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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