14x^2-32x+63=0

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Solution for 14x^2-32x+63=0 equation:


Simplifying
14x2 + -32x + 63 = 0

Reorder the terms:
63 + -32x + 14x2 = 0

Solving
63 + -32x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
4.5 + -2.285714286x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2.285714286x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2.285714286x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2.285714286x + x2 = 0 + -4.5
-2.285714286x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2.285714286x + x2 = -4.5

The x term is -2.285714286x.  Take half its coefficient (-1.142857143).
Square it (1.306122449) and add it to both sides.

Add '1.306122449' to each side of the equation.
-2.285714286x + 1.306122449 + x2 = -4.5 + 1.306122449

Reorder the terms:
1.306122449 + -2.285714286x + x2 = -4.5 + 1.306122449

Combine like terms: -4.5 + 1.306122449 = -3.193877551
1.306122449 + -2.285714286x + x2 = -3.193877551

Factor a perfect square on the left side:
(x + -1.142857143)(x + -1.142857143) = -3.193877551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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