0.7x^2-20x+230=0

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Solution for 0.7x^2-20x+230=0 equation:


Simplifying
0.7x2 + -20x + 230 = 0

Reorder the terms:
230 + -20x + 0.7x2 = 0

Solving
230 + -20x + 0.7x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.7'.
328.5714286 + -28.57142857x + x2 = 0

Move the constant term to the right:

Add '-328.5714286' to each side of the equation.
328.5714286 + -28.57142857x + -328.5714286 + x2 = 0 + -328.5714286

Reorder the terms:
328.5714286 + -328.5714286 + -28.57142857x + x2 = 0 + -328.5714286

Combine like terms: 328.5714286 + -328.5714286 = 0.0000000
0.0000000 + -28.57142857x + x2 = 0 + -328.5714286
-28.57142857x + x2 = 0 + -328.5714286

Combine like terms: 0 + -328.5714286 = -328.5714286
-28.57142857x + x2 = -328.5714286

The x term is -28.57142857x.  Take half its coefficient (-14.28571429).
Square it (204.0816328) and add it to both sides.

Add '204.0816328' to each side of the equation.
-28.57142857x + 204.0816328 + x2 = -328.5714286 + 204.0816328

Reorder the terms:
204.0816328 + -28.57142857x + x2 = -328.5714286 + 204.0816328

Combine like terms: -328.5714286 + 204.0816328 = -124.4897958
204.0816328 + -28.57142857x + x2 = -124.4897958

Factor a perfect square on the left side:
(x + -14.28571429)(x + -14.28571429) = -124.4897958

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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