5x^2-3x+10=6

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Solution for 5x^2-3x+10=6 equation:


Simplifying
5x2 + -3x + 10 = 6

Reorder the terms:
10 + -3x + 5x2 = 6

Solving
10 + -3x + 5x2 = 6

Solving for variable 'x'.

Reorder the terms:
10 + -6 + -3x + 5x2 = 6 + -6

Combine like terms: 10 + -6 = 4
4 + -3x + 5x2 = 6 + -6

Combine like terms: 6 + -6 = 0
4 + -3x + 5x2 = 0

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

Divide each side by '5'.
0.8 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -0.6x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -0.6x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.6x + x2 = 0 + -0.8
-0.6x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-0.6x + x2 = -0.8

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.8 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.8 + 0.09

Combine like terms: -0.8 + 0.09 = -0.71
0.09 + -0.6x + x2 = -0.71

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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