8x^2-130x+600=0

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Solution for 8x^2-130x+600=0 equation: 


Simplifying
8x2 + -130x + 600 = 0

Reorder the terms:
600 + -130x + 8x2 = 0

Solving
600 + -130x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(300 + -65x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(300 + -65x + 4x2)' equal to zero and attempt to solve:

Simplifying
300 + -65x + 4x2 = 0

Solving
300 + -65x + 4x2 = 0

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

Divide each side by '4'.
75 + -16.25x + x2 = 0

Move the constant term to the right:

Add '-75' to each side of the equation.
75 + -16.25x + -75 + x2 = 0 + -75

Reorder the terms:
75 + -75 + -16.25x + x2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -16.25x + x2 = 0 + -75
-16.25x + x2 = 0 + -75

Combine like terms: 0 + -75 = -75
-16.25x + x2 = -75

The x term is -16.25x.  Take half its coefficient (-8.125).
Square it (66.015625) and add it to both sides.

Add '66.015625' to each side of the equation.
-16.25x + 66.015625 + x2 = -75 + 66.015625

Reorder the terms:
66.015625 + -16.25x + x2 = -75 + 66.015625

Combine like terms: -75 + 66.015625 = -8.984375
66.015625 + -16.25x + x2 = -8.984375

Factor a perfect square on the left side:
(x + -8.125)(x + -8.125) = -8.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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