16x^2-72x+276=0

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Solution for 16x^2-72x+276=0 equation: 


Simplifying
16x2 + -72x + 276 = 0

Reorder the terms:
276 + -72x + 16x2 = 0

Solving
276 + -72x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(69 + -18x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(69 + -18x + 4x2)' equal to zero and attempt to solve:

Simplifying
69 + -18x + 4x2 = 0

Solving
69 + -18x + 4x2 = 0

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

Divide each side by '4'.
17.25 + -4.5x + x2 = 0

Move the constant term to the right:

Add '-17.25' to each side of the equation.
17.25 + -4.5x + -17.25 + x2 = 0 + -17.25

Reorder the terms:
17.25 + -17.25 + -4.5x + x2 = 0 + -17.25

Combine like terms: 17.25 + -17.25 = 0.00
0.00 + -4.5x + x2 = 0 + -17.25
-4.5x + x2 = 0 + -17.25

Combine like terms: 0 + -17.25 = -17.25
-4.5x + x2 = -17.25

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = -17.25 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = -17.25 + 5.0625

Combine like terms: -17.25 + 5.0625 = -12.1875
5.0625 + -4.5x + x2 = -12.1875

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = -12.1875

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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