5x^2-6x+28=14

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Solution for 5x^2-6x+28=14 equation:


Simplifying
5x2 + -6x + 28 = 14

Reorder the terms:
28 + -6x + 5x2 = 14

Solving
28 + -6x + 5x2 = 14

Solving for variable 'x'.

Reorder the terms:
28 + -14 + -6x + 5x2 = 14 + -14

Combine like terms: 28 + -14 = 14
14 + -6x + 5x2 = 14 + -14

Combine like terms: 14 + -14 = 0
14 + -6x + 5x2 = 0

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

Divide each side by '5'.
2.8 + -1.2x + x2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + -1.2x + -2.8 + x2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + -1.2x + x2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -1.2x + x2 = 0 + -2.8
-1.2x + x2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
-1.2x + x2 = -2.8

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -2.8 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -2.8 + 0.36

Combine like terms: -2.8 + 0.36 = -2.44
0.36 + -1.2x + x2 = -2.44

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -2.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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