8x^2-14x+15=0

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Solution for 8x^2-14x+15=0 equation:


Simplifying
8x2 + -14x + 15 = 0

Reorder the terms:
15 + -14x + 8x2 = 0

Solving
15 + -14x + 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'.
1.875 + -1.75x + x2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + -1.75x + -1.875 + x2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + -1.75x + x2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + -1.75x + x2 = 0 + -1.875
-1.75x + x2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
-1.75x + x2 = -1.875

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -1.875 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -1.875 + 0.765625

Combine like terms: -1.875 + 0.765625 = -1.109375
0.765625 + -1.75x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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