22x^2-16x+13+30=0

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Solution for 22x^2-16x+13+30=0 equation:


Simplifying
22x2 + -16x + 13 + 30 = 0

Reorder the terms:
13 + 30 + -16x + 22x2 = 0

Combine like terms: 13 + 30 = 43
43 + -16x + 22x2 = 0

Solving
43 + -16x + 22x2 = 0

Solving for variable 'x'.

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

Divide each side by '22'.
1.954545455 + -0.7272727273x + x2 = 0

Move the constant term to the right:

Add '-1.954545455' to each side of the equation.
1.954545455 + -0.7272727273x + -1.954545455 + x2 = 0 + -1.954545455

Reorder the terms:
1.954545455 + -1.954545455 + -0.7272727273x + x2 = 0 + -1.954545455

Combine like terms: 1.954545455 + -1.954545455 = 0.000000000
0.000000000 + -0.7272727273x + x2 = 0 + -1.954545455
-0.7272727273x + x2 = 0 + -1.954545455

Combine like terms: 0 + -1.954545455 = -1.954545455
-0.7272727273x + x2 = -1.954545455

The x term is -0.7272727273x.  Take half its coefficient (-0.3636363637).
Square it (0.1322314050) and add it to both sides.

Add '0.1322314050' to each side of the equation.
-0.7272727273x + 0.1322314050 + x2 = -1.954545455 + 0.1322314050

Reorder the terms:
0.1322314050 + -0.7272727273x + x2 = -1.954545455 + 0.1322314050

Combine like terms: -1.954545455 + 0.1322314050 = -1.82231405
0.1322314050 + -0.7272727273x + x2 = -1.82231405

Factor a perfect square on the left side:
(x + -0.3636363637)(x + -0.3636363637) = -1.82231405

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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