8x^2-7x+4=0

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Solution for 8x^2-7x+4=0 equation:


Simplifying
8x2 + -7x + 4 = 0

Reorder the terms:
4 + -7x + 8x2 = 0

Solving
4 + -7x + 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'.
0.5 + -0.875x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.875x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.875x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.875x + x2 = 0 + -0.5
-0.875x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.875x + x2 = -0.5

The x term is -0.875x.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875x + 0.19140625 + x2 = -0.5 + 0.19140625

Reorder the terms:
0.19140625 + -0.875x + x2 = -0.5 + 0.19140625

Combine like terms: -0.5 + 0.19140625 = -0.30859375
0.19140625 + -0.875x + x2 = -0.30859375

Factor a perfect square on the left side:
(x + -0.4375)(x + -0.4375) = -0.30859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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