0=5x^2-2x+6

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Solution for 0=5x^2-2x+6 equation:


Simplifying
0 = 5x2 + -2x + 6

Reorder the terms:
0 = 6 + -2x + 5x2

Solving
0 = 6 + -2x + 5x2

Solving for variable 'x'.

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

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

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

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

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

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.2 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.4x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.4x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.4x + x2 = 0 + -1.2
-0.4x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.4x + x2 = -1.2

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -1.2 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -1.2 + 0.04

Combine like terms: -1.2 + 0.04 = -1.16
0.04 + -0.4x + x2 = -1.16

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -1.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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