16x^2-100x+576=0

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Solution for 16x^2-100x+576=0 equation: 


Simplifying
16x2 + -100x + 576 = 0

Reorder the terms:
576 + -100x + 16x2 = 0

Solving
576 + -100x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(144 + -25x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(144 + -25x + 4x2)' equal to zero and attempt to solve:

Simplifying
144 + -25x + 4x2 = 0

Solving
144 + -25x + 4x2 = 0

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

Divide each side by '4'.
36 + -6.25x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -6.25x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -6.25x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -6.25x + x2 = 0 + -36
-6.25x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-6.25x + x2 = -36

The x term is -6.25x.  Take half its coefficient (-3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
-6.25x + 9.765625 + x2 = -36 + 9.765625

Reorder the terms:
9.765625 + -6.25x + x2 = -36 + 9.765625

Combine like terms: -36 + 9.765625 = -26.234375
9.765625 + -6.25x + x2 = -26.234375

Factor a perfect square on the left side:
(x + -3.125)(x + -3.125) = -26.234375

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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