8x^2-3x+60=0

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Solution for 8x^2-3x+60=0 equation:


Simplifying
8x2 + -3x + 60 = 0

Reorder the terms:
60 + -3x + 8x2 = 0

Solving
60 + -3x + 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'.
7.5 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -0.375x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -0.375x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.375x + x2 = 0 + -7.5
-0.375x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-0.375x + x2 = -7.5

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -7.5 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -7.5 + 0.03515625

Combine like terms: -7.5 + 0.03515625 = -7.46484375
0.03515625 + -0.375x + x2 = -7.46484375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -7.46484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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