8x^2-47x+135=0

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Solution for 8x^2-47x+135=0 equation:


Simplifying
8x2 + -47x + 135 = 0

Reorder the terms:
135 + -47x + 8x2 = 0

Solving
135 + -47x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
16.875 + -5.875x + x2 = 0

Move the constant term to the right:

Add '-16.875' to each side of the equation.
16.875 + -5.875x + -16.875 + x2 = 0 + -16.875

Reorder the terms:
16.875 + -16.875 + -5.875x + x2 = 0 + -16.875

Combine like terms: 16.875 + -16.875 = 0.000
0.000 + -5.875x + x2 = 0 + -16.875
-5.875x + x2 = 0 + -16.875

Combine like terms: 0 + -16.875 = -16.875
-5.875x + x2 = -16.875

The x term is -5.875x.  Take half its coefficient (-2.9375).
Square it (8.62890625) and add it to both sides.

Add '8.62890625' to each side of the equation.
-5.875x + 8.62890625 + x2 = -16.875 + 8.62890625

Reorder the terms:
8.62890625 + -5.875x + x2 = -16.875 + 8.62890625

Combine like terms: -16.875 + 8.62890625 = -8.24609375
8.62890625 + -5.875x + x2 = -8.24609375

Factor a perfect square on the left side:
(x + -2.9375)(x + -2.9375) = -8.24609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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