26(y^2)-256(y)+648=0

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Solution for 26(y^2)-256(y)+648=0 equation: 


Simplifying
26(y2) + -256(y) + 648 = 0

Reorder the terms:
648 + -256y + 26y2 = 0

Solving
648 + -256y + 26y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(324 + -128y + 13y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(324 + -128y + 13y2)' equal to zero and attempt to solve:

Simplifying
324 + -128y + 13y2 = 0

Solving
324 + -128y + 13y2 = 0

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

Divide each side by '13'.
24.92307692 + -9.846153846y + y2 = 0

Move the constant term to the right:

Add '-24.92307692' to each side of the equation.
24.92307692 + -9.846153846y + -24.92307692 + y2 = 0 + -24.92307692

Reorder the terms:
24.92307692 + -24.92307692 + -9.846153846y + y2 = 0 + -24.92307692

Combine like terms: 24.92307692 + -24.92307692 = 0.00000000
0.00000000 + -9.846153846y + y2 = 0 + -24.92307692
-9.846153846y + y2 = 0 + -24.92307692

Combine like terms: 0 + -24.92307692 = -24.92307692
-9.846153846y + y2 = -24.92307692

The y term is -9.846153846y.  Take half its coefficient (-4.923076923).
Square it (24.23668639) and add it to both sides.

Add '24.23668639' to each side of the equation.
-9.846153846y + 24.23668639 + y2 = -24.92307692 + 24.23668639

Reorder the terms:
24.23668639 + -9.846153846y + y2 = -24.92307692 + 24.23668639

Combine like terms: -24.92307692 + 24.23668639 = -0.68639053
24.23668639 + -9.846153846y + y2 = -0.68639053

Factor a perfect square on the left side:
(y + -4.923076923)(y + -4.923076923) = -0.68639053

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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