-6y(y+5)-24=66

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Solution for -6y(y+5)-24=66 equation: 


Simplifying
-6y(y + 5) + -24 = 66

Reorder the terms:
-6y(5 + y) + -24 = 66
(5 * -6y + y * -6y) + -24 = 66
(-30y + -6y2) + -24 = 66

Reorder the terms:
-24 + -30y + -6y2 = 66

Solving
-24 + -30y + -6y2 = 66

Solving for variable 'y'.

Reorder the terms:
-24 + -66 + -30y + -6y2 = 66 + -66

Combine like terms: -24 + -66 = -90
-90 + -30y + -6y2 = 66 + -66

Combine like terms: 66 + -66 = 0
-90 + -30y + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '-6'.
-6(15 + 5y + y2) = 0

Ignore the factor -6.

Subproblem 1
Set the factor '(15 + 5y + y2)' equal to zero and attempt to solve:

Simplifying
15 + 5y + y2 = 0

Solving
15 + 5y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 5y + -15 + y2 = 0 + -15

Reorder the terms:
15 + -15 + 5y + y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5y + y2 = 0 + -15
5y + y2 = 0 + -15

Combine like terms: 0 + -15 = -15
5y + y2 = -15

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = -15 + 6.25

Reorder the terms:
6.25 + 5y + y2 = -15 + 6.25

Combine like terms: -15 + 6.25 = -8.75
6.25 + 5y + y2 = -8.75

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = -8.75

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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