-5y(y+4)-12=43

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Solution for -5y(y+4)-12=43 equation: 


Simplifying
-5y(y + 4) + -12 = 43

Reorder the terms:
-5y(4 + y) + -12 = 43
(4 * -5y + y * -5y) + -12 = 43
(-20y + -5y2) + -12 = 43

Reorder the terms:
-12 + -20y + -5y2 = 43

Solving
-12 + -20y + -5y2 = 43

Solving for variable 'y'.

Reorder the terms:
-12 + -43 + -20y + -5y2 = 43 + -43

Combine like terms: -12 + -43 = -55
-55 + -20y + -5y2 = 43 + -43

Combine like terms: 43 + -43 = 0
-55 + -20y + -5y2 = 0

Factor out the Greatest Common Factor (GCF), '-5'.
-5(11 + 4y + y2) = 0

Ignore the factor -5.

Subproblem 1
Set the factor '(11 + 4y + y2)' equal to zero and attempt to solve:

Simplifying
11 + 4y + y2 = 0

Solving
11 + 4y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 4y + -11 + y2 = 0 + -11

Reorder the terms:
11 + -11 + 4y + y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4y + y2 = 0 + -11
4y + y2 = 0 + -11

Combine like terms: 0 + -11 = -11
4y + y2 = -11

The y term is 4y.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y + 4 + y2 = -11 + 4

Reorder the terms:
4 + 4y + y2 = -11 + 4

Combine like terms: -11 + 4 = -7
4 + 4y + y2 = -7

Factor a perfect square on the left side:
(y + 2)(y + 2) = -7

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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