8(16y^2-25y+75)=0

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Solution for 8(16y^2-25y+75)=0 equation: 


Simplifying
8(16y2 + -25y + 75) = 0

Reorder the terms:
8(75 + -25y + 16y2) = 0
(75 * 8 + -25y * 8 + 16y2 * 8) = 0
(600 + -200y + 128y2) = 0

Solving
600 + -200y + 128y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(75 + -25y + 16y2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(75 + -25y + 16y2)' equal to zero and attempt to solve:

Simplifying
75 + -25y + 16y2 = 0

Solving
75 + -25y + 16y2 = 0

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

Divide each side by '16'.
4.6875 + -1.5625y + y2 = 0

Move the constant term to the right:

Add '-4.6875' to each side of the equation.
4.6875 + -1.5625y + -4.6875 + y2 = 0 + -4.6875

Reorder the terms:
4.6875 + -4.6875 + -1.5625y + y2 = 0 + -4.6875

Combine like terms: 4.6875 + -4.6875 = 0.0000
0.0000 + -1.5625y + y2 = 0 + -4.6875
-1.5625y + y2 = 0 + -4.6875

Combine like terms: 0 + -4.6875 = -4.6875
-1.5625y + y2 = -4.6875

The y term is -1.5625y.  Take half its coefficient (-0.78125).
Square it (0.6103515625) and add it to both sides.

Add '0.6103515625' to each side of the equation.
-1.5625y + 0.6103515625 + y2 = -4.6875 + 0.6103515625

Reorder the terms:
0.6103515625 + -1.5625y + y2 = -4.6875 + 0.6103515625

Combine like terms: -4.6875 + 0.6103515625 = -4.0771484375
0.6103515625 + -1.5625y + y2 = -4.0771484375

Factor a perfect square on the left side:
(y + -0.78125)(y + -0.78125) = -4.0771484375

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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